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What is the Least Common Multiple of 54618 and 54627?

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 54618 and 54627 is 994539162.

LCM(54618,54627) = 994539162

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Least Common Multiple of 54618 and 54627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54618 and 54627, than apply into the LCM equation.

GCF(54618,54627) = 3
LCM(54618,54627) = ( 54618 × 54627) / 3
LCM(54618,54627) = 2983617486 / 3
LCM(54618,54627) = 994539162

Least Common Multiple (LCM) of 54618 and 54627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54618 and 54627. First we will calculate the prime factors of 54618 and 54627.

Prime Factorization of 54618

Prime factors of 54618 are 2, 3, 9103. Prime factorization of 54618 in exponential form is:

54618 = 21 × 31 × 91031

Prime Factorization of 54627

Prime factors of 54627 are 3, 131, 139. Prime factorization of 54627 in exponential form is:

54627 = 31 × 1311 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 54618 and 54627.

LCM(54618,54627) = 21 × 31 × 91031 × 1311 × 1391
LCM(54618,54627) = 994539162