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What is the Least Common Multiple of 54620 and 54639?

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 54620 and 54639 is 2984382180.

LCM(54620,54639) = 2984382180

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Least Common Multiple of 54620 and 54639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54620 and 54639, than apply into the LCM equation.

GCF(54620,54639) = 1
LCM(54620,54639) = ( 54620 × 54639) / 1
LCM(54620,54639) = 2984382180 / 1
LCM(54620,54639) = 2984382180

Least Common Multiple (LCM) of 54620 and 54639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54620 and 54639. First we will calculate the prime factors of 54620 and 54639.

Prime Factorization of 54620

Prime factors of 54620 are 2, 5, 2731. Prime factorization of 54620 in exponential form is:

54620 = 22 × 51 × 27311

Prime Factorization of 54639

Prime factors of 54639 are 3, 13, 467. Prime factorization of 54639 in exponential form is:

54639 = 32 × 131 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 54620 and 54639.

LCM(54620,54639) = 22 × 51 × 27311 × 32 × 131 × 4671
LCM(54620,54639) = 2984382180