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What is the Least Common Multiple of 88868 and 88886?

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 88868 and 88886 is 3949560524.

LCM(88868,88886) = 3949560524

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Least Common Multiple of 88868 and 88886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88868 and 88886, than apply into the LCM equation.

GCF(88868,88886) = 2
LCM(88868,88886) = ( 88868 × 88886) / 2
LCM(88868,88886) = 7899121048 / 2
LCM(88868,88886) = 3949560524

Least Common Multiple (LCM) of 88868 and 88886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88868 and 88886. First we will calculate the prime factors of 88868 and 88886.

Prime Factorization of 88868

Prime factors of 88868 are 2, 13, 1709. Prime factorization of 88868 in exponential form is:

88868 = 22 × 131 × 17091

Prime Factorization of 88886

Prime factors of 88886 are 2, 7, 907. Prime factorization of 88886 in exponential form is:

88886 = 21 × 72 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 88868 and 88886.

LCM(88868,88886) = 22 × 131 × 17091 × 72 × 9071
LCM(88868,88886) = 3949560524