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What is the Least Common Multiple of 57007 and 57017?

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 57007 and 57017 is 3250368119.

LCM(57007,57017) = 3250368119

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Least Common Multiple of 57007 and 57017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57007 and 57017, than apply into the LCM equation.

GCF(57007,57017) = 1
LCM(57007,57017) = ( 57007 × 57017) / 1
LCM(57007,57017) = 3250368119 / 1
LCM(57007,57017) = 3250368119

Least Common Multiple (LCM) of 57007 and 57017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57007 and 57017. First we will calculate the prime factors of 57007 and 57017.

Prime Factorization of 57007

Prime factors of 57007 are 109, 523. Prime factorization of 57007 in exponential form is:

57007 = 1091 × 5231

Prime Factorization of 57017

Prime factors of 57017 are 23, 37, 67. Prime factorization of 57017 in exponential form is:

57017 = 231 × 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 57007 and 57017.

LCM(57007,57017) = 1091 × 5231 × 231 × 371 × 671
LCM(57007,57017) = 3250368119