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What is the Least Common Multiple of 12156 and 12172?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 12156 and 12172 is 36990708.

LCM(12156,12172) = 36990708

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Least Common Multiple of 12156 and 12172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12156 and 12172, than apply into the LCM equation.

GCF(12156,12172) = 4
LCM(12156,12172) = ( 12156 × 12172) / 4
LCM(12156,12172) = 147962832 / 4
LCM(12156,12172) = 36990708

Least Common Multiple (LCM) of 12156 and 12172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12156 and 12172. First we will calculate the prime factors of 12156 and 12172.

Prime Factorization of 12156

Prime factors of 12156 are 2, 3, 1013. Prime factorization of 12156 in exponential form is:

12156 = 22 × 31 × 10131

Prime Factorization of 12172

Prime factors of 12172 are 2, 17, 179. Prime factorization of 12172 in exponential form is:

12172 = 22 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 12156 and 12172.

LCM(12156,12172) = 22 × 31 × 10131 × 171 × 1791
LCM(12156,12172) = 36990708