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What is the Least Common Multiple of 9138 and 9153?

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 9138 and 9153 is 27880038.

LCM(9138,9153) = 27880038

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Least Common Multiple of 9138 and 9153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9138 and 9153, than apply into the LCM equation.

GCF(9138,9153) = 3
LCM(9138,9153) = ( 9138 × 9153) / 3
LCM(9138,9153) = 83640114 / 3
LCM(9138,9153) = 27880038

Least Common Multiple (LCM) of 9138 and 9153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9138 and 9153. First we will calculate the prime factors of 9138 and 9153.

Prime Factorization of 9138

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

9138 = 21 × 31 × 15231

Prime Factorization of 9153

Prime factors of 9153 are 3, 113. Prime factorization of 9153 in exponential form is:

9153 = 34 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9138 and 9153.

LCM(9138,9153) = 21 × 34 × 15231 × 1131
LCM(9138,9153) = 27880038