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What is the Least Common Multiple of 9132 and 9138?

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 9132 and 9138 is 13908036.

LCM(9132,9138) = 13908036

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Least Common Multiple of 9132 and 9138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9132 and 9138, than apply into the LCM equation.

GCF(9132,9138) = 6
LCM(9132,9138) = ( 9132 × 9138) / 6
LCM(9132,9138) = 83448216 / 6
LCM(9132,9138) = 13908036

Least Common Multiple (LCM) of 9132 and 9138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9138. First we will calculate the prime factors of 9132 and 9138.

Prime Factorization of 9132

Prime factors of 9132 are 2, 3, 761. Prime factorization of 9132 in exponential form is:

9132 = 22 × 31 × 7611

Prime Factorization of 9138

Prime factors of 9138 are 2, 3, 1523. Prime factorization of 9138 in exponential form is:

9138 = 21 × 31 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9138.

LCM(9132,9138) = 22 × 31 × 7611 × 15231
LCM(9132,9138) = 13908036