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What is the Least Common Multiple of 57007 and 57023?

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 57023 is 3250710161.

LCM(57007,57023) = 3250710161

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Least Common Multiple of 57007 and 57023 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 57023, than apply into the LCM equation.

GCF(57007,57023) = 1
LCM(57007,57023) = ( 57007 × 57023) / 1
LCM(57007,57023) = 3250710161 / 1
LCM(57007,57023) = 3250710161

Least Common Multiple (LCM) of 57007 and 57023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57007 and 57023. First we will calculate the prime factors of 57007 and 57023.

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 57023

Prime factors of 57023 are 127, 449. Prime factorization of 57023 in exponential form is:

57023 = 1271 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 57007 and 57023.

LCM(57007,57023) = 1091 × 5231 × 1271 × 4491
LCM(57007,57023) = 3250710161