Free LCM Calculator identify the least common multiple (LCM) between 12 and also 16 the smallest integer the is 48 that is divisible through both numbers.

You are watching: What is the least common multiple of 12 and 16

Least usual Multiple (LCM) the 12 and also 16 is **48**.

LCM(12,16) = 48

Least typical multiple have the right to be uncovered by multiply the greatest exponent prime components of 12 and also 16. An initial we will calculate the **prime factors of 12 and also 16**.

**Prime factorization of 12**

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime components of 12 space 2,3. Element factorization the **12** in exponential type is:

12 = 22×31**Prime factorization of 16**

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 16 are 2. Prime factorization of **16** in exponential form is:

16 = 24Now multiply the highest exponent prime factors to calculation the **LCM of 12 and also 16**.

LCM(12,16) = 24×31LCM(12,16) = 48

**Factors the 12**

List of positive integer determinants of 12 the divides 12 without a remainder.

1, 2, 3, 4, 6, 12

**Factors the 16**

List of optimistic integer components of 16 the divides 16 there is no a remainder.

1, 2, 4, 8, 16

### Least usual Multiple the 12 and 16 through GCF Formula

The formula that **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).We need to calculate greatest common factor 12 and 16, than apply into the LCM equation.

GCF(12,16) = 4LCM(12,16) = ( 12 × 16) / 4LCM(12,16) = 192 / 4LCM(12,16) = 48

### Properties of LCM 12 and 16

(i) The LCM the 16 and 12 is associative

LCM of 12 and 16 = LCM that 16 and 12

Related Least common Multiples the 12

Related Least usual Multiples that 16

### Frequently Asked questions on LCM the 12 and also 16

1. What is the LCM the 12 and 16?

Answer: LCM that 12 and 16 is 48.

2. What room the factors of 12?

Answer: components of 12 are 1, 2, 3, 4, 6, 12. There space 6 integers that are components of 12. The greatest element of 12 is 12.

3. What room the factors of 16?

Answer: components of 16 room 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest aspect of 16 is 16.

See more: How Many Calories Are In A Chocolate Donut Nutrition Facts, Chocolate Cake

4. How to find the LCM that 12 and 16?

Answer:

Least typical Multiple the 12 and also 16 = 48

Step 1: uncover the element factorization the 12

12 = 2 x 2 x 3

Step 2: uncover the prime factorization that 16

16 = 2 x 2 x 2 x 2

Step 3: multiply each aspect the greater variety of times it occurs in measures i) or ii) over to find the lcm:

LCM = 48 = 2 x 2 x 2 x 2 x 3

Step 4: Therefore, the least common multiple the 12 and also 16 is 48.

favorite Calculators

Most well-known

company Follow us