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What is the Least Common Multiple of 57020 and 57028?

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 57020 and 57028 is 812934140.

LCM(57020,57028) = 812934140

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Least Common Multiple of 57020 and 57028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57020 and 57028, than apply into the LCM equation.

GCF(57020,57028) = 4
LCM(57020,57028) = ( 57020 × 57028) / 4
LCM(57020,57028) = 3251736560 / 4
LCM(57020,57028) = 812934140

Least Common Multiple (LCM) of 57020 and 57028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57020 and 57028. First we will calculate the prime factors of 57020 and 57028.

Prime Factorization of 57020

Prime factors of 57020 are 2, 5, 2851. Prime factorization of 57020 in exponential form is:

57020 = 22 × 51 × 28511

Prime Factorization of 57028

Prime factors of 57028 are 2, 53, 269. Prime factorization of 57028 in exponential form is:

57028 = 22 × 531 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 57020 and 57028.

LCM(57020,57028) = 22 × 51 × 28511 × 531 × 2691
LCM(57020,57028) = 812934140