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What is the Least Common Multiple of 88914 and 88926?

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 88914 and 88926 is 1317794394.

LCM(88914,88926) = 1317794394

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Least Common Multiple of 88914 and 88926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88914 and 88926, than apply into the LCM equation.

GCF(88914,88926) = 6
LCM(88914,88926) = ( 88914 × 88926) / 6
LCM(88914,88926) = 7906766364 / 6
LCM(88914,88926) = 1317794394

Least Common Multiple (LCM) of 88914 and 88926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88914 and 88926. First we will calculate the prime factors of 88914 and 88926.

Prime Factorization of 88914

Prime factors of 88914 are 2, 3, 7, 29, 73. Prime factorization of 88914 in exponential form is:

88914 = 21 × 31 × 71 × 291 × 731

Prime Factorization of 88926

Prime factors of 88926 are 2, 3, 14821. Prime factorization of 88926 in exponential form is:

88926 = 21 × 31 × 148211

Now multiplying the highest exponent prime factors to calculate the LCM of 88914 and 88926.

LCM(88914,88926) = 21 × 31 × 71 × 291 × 731 × 148211
LCM(88914,88926) = 1317794394