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What is the Least Common Multiple of 13020 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 13020 and 13028 is 42406140.

LCM(13020,13028) = 42406140

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Least Common Multiple of 13020 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 13020 and 13028, than apply into the LCM equation.

GCF(13020,13028) = 4
LCM(13020,13028) = ( 13020 × 13028) / 4
LCM(13020,13028) = 169624560 / 4
LCM(13020,13028) = 42406140

Least Common Multiple (LCM) of 13020 and 13028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13020 and 13028. First we will calculate the prime factors of 13020 and 13028.

Prime Factorization of 13020

Prime factors of 13020 are 2, 3, 5, 7, 31. Prime factorization of 13020 in exponential form is:

13020 = 22 × 31 × 51 × 71 × 311

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 13020 and 13028.

LCM(13020,13028) = 22 × 31 × 51 × 71 × 311 × 32571
LCM(13020,13028) = 42406140