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What is the Least Common Multiple of 88685 and 88697?

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 88685 and 88697 is 7866093445.

LCM(88685,88697) = 7866093445

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Least Common Multiple of 88685 and 88697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88685 and 88697, than apply into the LCM equation.

GCF(88685,88697) = 1
LCM(88685,88697) = ( 88685 × 88697) / 1
LCM(88685,88697) = 7866093445 / 1
LCM(88685,88697) = 7866093445

Least Common Multiple (LCM) of 88685 and 88697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88685 and 88697. First we will calculate the prime factors of 88685 and 88697.

Prime Factorization of 88685

Prime factors of 88685 are 5, 17737. Prime factorization of 88685 in exponential form is:

88685 = 51 × 177371

Prime Factorization of 88697

Prime factors of 88697 are 7, 12671. Prime factorization of 88697 in exponential form is:

88697 = 71 × 126711

Now multiplying the highest exponent prime factors to calculate the LCM of 88685 and 88697.

LCM(88685,88697) = 51 × 177371 × 71 × 126711
LCM(88685,88697) = 7866093445