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What is the Least Common Multiple of 88677 and 88687?

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 88677 and 88687 is 7864497099.

LCM(88677,88687) = 7864497099

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Least Common Multiple of 88677 and 88687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88677 and 88687, than apply into the LCM equation.

GCF(88677,88687) = 1
LCM(88677,88687) = ( 88677 × 88687) / 1
LCM(88677,88687) = 7864497099 / 1
LCM(88677,88687) = 7864497099

Least Common Multiple (LCM) of 88677 and 88687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88677 and 88687. First we will calculate the prime factors of 88677 and 88687.

Prime Factorization of 88677

Prime factors of 88677 are 3, 59, 167. Prime factorization of 88677 in exponential form is:

88677 = 32 × 591 × 1671

Prime Factorization of 88687

Prime factors of 88687 are 131, 677. Prime factorization of 88687 in exponential form is:

88687 = 1311 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 88677 and 88687.

LCM(88677,88687) = 32 × 591 × 1671 × 1311 × 6771
LCM(88677,88687) = 7864497099