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What is the Least Common Multiple of 87611 and 87618?

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 87611 and 87618 is 7676300598.

LCM(87611,87618) = 7676300598

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Least Common Multiple of 87611 and 87618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87611 and 87618, than apply into the LCM equation.

GCF(87611,87618) = 1
LCM(87611,87618) = ( 87611 × 87618) / 1
LCM(87611,87618) = 7676300598 / 1
LCM(87611,87618) = 7676300598

Least Common Multiple (LCM) of 87611 and 87618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87611 and 87618. First we will calculate the prime factors of 87611 and 87618.

Prime Factorization of 87611

Prime factors of 87611 are 79, 1109. Prime factorization of 87611 in exponential form is:

87611 = 791 × 11091

Prime Factorization of 87618

Prime factors of 87618 are 2, 3, 17, 859. Prime factorization of 87618 in exponential form is:

87618 = 21 × 31 × 171 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 87611 and 87618.

LCM(87611,87618) = 791 × 11091 × 21 × 31 × 171 × 8591
LCM(87611,87618) = 7676300598