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What is the Least Common Multiple of 57010 and 57019?

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 57010 and 57019 is 3250653190.

LCM(57010,57019) = 3250653190

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Least Common Multiple of 57010 and 57019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57010 and 57019, than apply into the LCM equation.

GCF(57010,57019) = 1
LCM(57010,57019) = ( 57010 × 57019) / 1
LCM(57010,57019) = 3250653190 / 1
LCM(57010,57019) = 3250653190

Least Common Multiple (LCM) of 57010 and 57019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57010 and 57019. First we will calculate the prime factors of 57010 and 57019.

Prime Factorization of 57010

Prime factors of 57010 are 2, 5, 5701. Prime factorization of 57010 in exponential form is:

57010 = 21 × 51 × 57011

Prime Factorization of 57019

Prime factors of 57019 are 19, 3001. Prime factorization of 57019 in exponential form is:

57019 = 191 × 30011

Now multiplying the highest exponent prime factors to calculate the LCM of 57010 and 57019.

LCM(57010,57019) = 21 × 51 × 57011 × 191 × 30011
LCM(57010,57019) = 3250653190