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.

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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 = 22×31Prime 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.

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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.


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