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What is the Least Common Multiple of 88907 and 88917?

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 88907 and 88917 is 7905343719.

LCM(88907,88917) = 7905343719

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Least Common Multiple of 88907 and 88917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88907 and 88917, than apply into the LCM equation.

GCF(88907,88917) = 1
LCM(88907,88917) = ( 88907 × 88917) / 1
LCM(88907,88917) = 7905343719 / 1
LCM(88907,88917) = 7905343719

Least Common Multiple (LCM) of 88907 and 88917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88907 and 88917. First we will calculate the prime factors of 88907 and 88917.

Prime Factorization of 88907

Prime factors of 88907 are 7, 13, 977. Prime factorization of 88907 in exponential form is:

88907 = 71 × 131 × 9771

Prime Factorization of 88917

Prime factors of 88917 are 3, 107, 277. Prime factorization of 88917 in exponential form is:

88917 = 31 × 1071 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 88907 and 88917.

LCM(88907,88917) = 71 × 131 × 9771 × 31 × 1071 × 2771
LCM(88907,88917) = 7905343719