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What is the Least Common Multiple of 9156 and 9172?

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 9156 and 9172 is 20994708.

LCM(9156,9172) = 20994708

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Least Common Multiple of 9156 and 9172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9156 and 9172, than apply into the LCM equation.

GCF(9156,9172) = 4
LCM(9156,9172) = ( 9156 × 9172) / 4
LCM(9156,9172) = 83978832 / 4
LCM(9156,9172) = 20994708

Least Common Multiple (LCM) of 9156 and 9172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9156 and 9172. First we will calculate the prime factors of 9156 and 9172.

Prime Factorization of 9156

Prime factors of 9156 are 2, 3, 7, 109. Prime factorization of 9156 in exponential form is:

9156 = 22 × 31 × 71 × 1091

Prime Factorization of 9172

Prime factors of 9172 are 2, 2293. Prime factorization of 9172 in exponential form is:

9172 = 22 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 9156 and 9172.

LCM(9156,9172) = 22 × 31 × 71 × 1091 × 22931
LCM(9156,9172) = 20994708