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What is the Least Common Multiple of 57005 and 57020?

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 57005 and 57020 is 650085020.

LCM(57005,57020) = 650085020

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Least Common Multiple of 57005 and 57020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57005 and 57020, than apply into the LCM equation.

GCF(57005,57020) = 5
LCM(57005,57020) = ( 57005 × 57020) / 5
LCM(57005,57020) = 3250425100 / 5
LCM(57005,57020) = 650085020

Least Common Multiple (LCM) of 57005 and 57020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57005 and 57020. First we will calculate the prime factors of 57005 and 57020.

Prime Factorization of 57005

Prime factors of 57005 are 5, 13, 877. Prime factorization of 57005 in exponential form is:

57005 = 51 × 131 × 8771

Prime Factorization of 57020

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

57020 = 22 × 51 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 57005 and 57020.

LCM(57005,57020) = 51 × 131 × 8771 × 22 × 28511
LCM(57005,57020) = 650085020