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What is the Least Common Multiple of 64613 and 64618?

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 64613 and 64618 is 4175162834.

LCM(64613,64618) = 4175162834

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Least Common Multiple of 64613 and 64618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64613 and 64618, than apply into the LCM equation.

GCF(64613,64618) = 1
LCM(64613,64618) = ( 64613 × 64618) / 1
LCM(64613,64618) = 4175162834 / 1
LCM(64613,64618) = 4175162834

Least Common Multiple (LCM) of 64613 and 64618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64613 and 64618. First we will calculate the prime factors of 64613 and 64618.

Prime Factorization of 64613

Prime factors of 64613 are 64613. Prime factorization of 64613 in exponential form is:

64613 = 646131

Prime Factorization of 64618

Prime factors of 64618 are 2, 32309. Prime factorization of 64618 in exponential form is:

64618 = 21 × 323091

Now multiplying the highest exponent prime factors to calculate the LCM of 64613 and 64618.

LCM(64613,64618) = 646131 × 21 × 323091
LCM(64613,64618) = 4175162834