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What is the Least Common Multiple of 13016 and 13028?

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 13016 and 13028 is 42393112.

LCM(13016,13028) = 42393112

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Least Common Multiple of 13016 and 13028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13016 and 13028, than apply into the LCM equation.

GCF(13016,13028) = 4
LCM(13016,13028) = ( 13016 × 13028) / 4
LCM(13016,13028) = 169572448 / 4
LCM(13016,13028) = 42393112

Least Common Multiple (LCM) of 13016 and 13028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13016 and 13028. First we will calculate the prime factors of 13016 and 13028.

Prime Factorization of 13016

Prime factors of 13016 are 2, 1627. Prime factorization of 13016 in exponential form is:

13016 = 23 × 16271

Prime Factorization of 13028

Prime factors of 13028 are 2, 3257. Prime factorization of 13028 in exponential form is:

13028 = 22 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 13016 and 13028.

LCM(13016,13028) = 23 × 16271 × 32571
LCM(13016,13028) = 42393112