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What is the Least Common Multiple of 88606 and 88610?

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 88606 and 88610 is 3925688830.

LCM(88606,88610) = 3925688830

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Least Common Multiple of 88606 and 88610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88606 and 88610, than apply into the LCM equation.

GCF(88606,88610) = 2
LCM(88606,88610) = ( 88606 × 88610) / 2
LCM(88606,88610) = 7851377660 / 2
LCM(88606,88610) = 3925688830

Least Common Multiple (LCM) of 88606 and 88610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88606 and 88610. First we will calculate the prime factors of 88606 and 88610.

Prime Factorization of 88606

Prime factors of 88606 are 2, 7, 6329. Prime factorization of 88606 in exponential form is:

88606 = 21 × 71 × 63291

Prime Factorization of 88610

Prime factors of 88610 are 2, 5, 8861. Prime factorization of 88610 in exponential form is:

88610 = 21 × 51 × 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 88606 and 88610.

LCM(88606,88610) = 21 × 71 × 63291 × 51 × 88611
LCM(88606,88610) = 3925688830