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What is the Least Common Multiple of 54609 and 54623?

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 54609 and 54623 is 2982907407.

LCM(54609,54623) = 2982907407

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Least Common Multiple of 54609 and 54623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54609 and 54623, than apply into the LCM equation.

GCF(54609,54623) = 1
LCM(54609,54623) = ( 54609 × 54623) / 1
LCM(54609,54623) = 2982907407 / 1
LCM(54609,54623) = 2982907407

Least Common Multiple (LCM) of 54609 and 54623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54609 and 54623. First we will calculate the prime factors of 54609 and 54623.

Prime Factorization of 54609

Prime factors of 54609 are 3, 109, 167. Prime factorization of 54609 in exponential form is:

54609 = 31 × 1091 × 1671

Prime Factorization of 54623

Prime factors of 54623 are 54623. Prime factorization of 54623 in exponential form is:

54623 = 546231

Now multiplying the highest exponent prime factors to calculate the LCM of 54609 and 54623.

LCM(54609,54623) = 31 × 1091 × 1671 × 546231
LCM(54609,54623) = 2982907407