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What is the Least Common Multiple of 55013 and 55028?

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 55013 and 55028 is 3027255364.

LCM(55013,55028) = 3027255364

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Least Common Multiple of 55013 and 55028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55013 and 55028, than apply into the LCM equation.

GCF(55013,55028) = 1
LCM(55013,55028) = ( 55013 × 55028) / 1
LCM(55013,55028) = 3027255364 / 1
LCM(55013,55028) = 3027255364

Least Common Multiple (LCM) of 55013 and 55028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55013 and 55028. First we will calculate the prime factors of 55013 and 55028.

Prime Factorization of 55013

Prime factors of 55013 are 7, 29, 271. Prime factorization of 55013 in exponential form is:

55013 = 71 × 291 × 2711

Prime Factorization of 55028

Prime factors of 55028 are 2, 13757. Prime factorization of 55028 in exponential form is:

55028 = 22 × 137571

Now multiplying the highest exponent prime factors to calculate the LCM of 55013 and 55028.

LCM(55013,55028) = 71 × 291 × 2711 × 22 × 137571
LCM(55013,55028) = 3027255364