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What is the Least Common Multiple of 9132 and 9142?

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 9142 is 41742372.

LCM(9132,9142) = 41742372

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Least Common Multiple of 9132 and 9142 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 9142, than apply into the LCM equation.

GCF(9132,9142) = 2
LCM(9132,9142) = ( 9132 × 9142) / 2
LCM(9132,9142) = 83484744 / 2
LCM(9132,9142) = 41742372

Least Common Multiple (LCM) of 9132 and 9142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9132 and 9142. First we will calculate the prime factors of 9132 and 9142.

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 9142

Prime factors of 9142 are 2, 7, 653. Prime factorization of 9142 in exponential form is:

9142 = 21 × 71 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 9132 and 9142.

LCM(9132,9142) = 22 × 31 × 7611 × 71 × 6531
LCM(9132,9142) = 41742372