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What is the Least Common Multiple of 57021 and 57035?

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 57021 and 57035 is 3252192735.

LCM(57021,57035) = 3252192735

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Least Common Multiple of 57021 and 57035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57021 and 57035, than apply into the LCM equation.

GCF(57021,57035) = 1
LCM(57021,57035) = ( 57021 × 57035) / 1
LCM(57021,57035) = 3252192735 / 1
LCM(57021,57035) = 3252192735

Least Common Multiple (LCM) of 57021 and 57035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57021 and 57035. First we will calculate the prime factors of 57021 and 57035.

Prime Factorization of 57021

Prime factors of 57021 are 3, 83, 229. Prime factorization of 57021 in exponential form is:

57021 = 31 × 831 × 2291

Prime Factorization of 57035

Prime factors of 57035 are 5, 11, 17, 61. Prime factorization of 57035 in exponential form is:

57035 = 51 × 111 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 57021 and 57035.

LCM(57021,57035) = 31 × 831 × 2291 × 51 × 111 × 171 × 611
LCM(57021,57035) = 3252192735