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What is the Least Common Multiple of 57007 and 57024?

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 57024 is 3250767168.

LCM(57007,57024) = 3250767168

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Least Common Multiple of 57007 and 57024 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 57024, than apply into the LCM equation.

GCF(57007,57024) = 1
LCM(57007,57024) = ( 57007 × 57024) / 1
LCM(57007,57024) = 3250767168 / 1
LCM(57007,57024) = 3250767168

Least Common Multiple (LCM) of 57007 and 57024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57007 and 57024. First we will calculate the prime factors of 57007 and 57024.

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 57024

Prime factors of 57024 are 2, 3, 11. Prime factorization of 57024 in exponential form is:

57024 = 26 × 34 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 57007 and 57024.

LCM(57007,57024) = 1091 × 5231 × 26 × 34 × 111
LCM(57007,57024) = 3250767168