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What is the Least Common Multiple of 57079 and 57090?

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 57079 and 57090 is 296240010.

LCM(57079,57090) = 296240010

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Least Common Multiple of 57079 and 57090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57079 and 57090, than apply into the LCM equation.

GCF(57079,57090) = 11
LCM(57079,57090) = ( 57079 × 57090) / 11
LCM(57079,57090) = 3258640110 / 11
LCM(57079,57090) = 296240010

Least Common Multiple (LCM) of 57079 and 57090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57079 and 57090. First we will calculate the prime factors of 57079 and 57090.

Prime Factorization of 57079

Prime factors of 57079 are 11, 5189. Prime factorization of 57079 in exponential form is:

57079 = 111 × 51891

Prime Factorization of 57090

Prime factors of 57090 are 2, 3, 5, 11, 173. Prime factorization of 57090 in exponential form is:

57090 = 21 × 31 × 51 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 57079 and 57090.

LCM(57079,57090) = 111 × 51891 × 21 × 31 × 51 × 1731
LCM(57079,57090) = 296240010