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What is the Least Common Multiple of 73601 and 73618?

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 73601 and 73618 is 5418358418.

LCM(73601,73618) = 5418358418

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Least Common Multiple of 73601 and 73618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73601 and 73618, than apply into the LCM equation.

GCF(73601,73618) = 1
LCM(73601,73618) = ( 73601 × 73618) / 1
LCM(73601,73618) = 5418358418 / 1
LCM(73601,73618) = 5418358418

Least Common Multiple (LCM) of 73601 and 73618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73601 and 73618. First we will calculate the prime factors of 73601 and 73618.

Prime Factorization of 73601

Prime factors of 73601 are 11, 6691. Prime factorization of 73601 in exponential form is:

73601 = 111 × 66911

Prime Factorization of 73618

Prime factors of 73618 are 2, 36809. Prime factorization of 73618 in exponential form is:

73618 = 21 × 368091

Now multiplying the highest exponent prime factors to calculate the LCM of 73601 and 73618.

LCM(73601,73618) = 111 × 66911 × 21 × 368091
LCM(73601,73618) = 5418358418