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What is the Least Common Multiple of 56990 and 57009?

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 56990 and 57009 is 3248942910.

LCM(56990,57009) = 3248942910

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Least Common Multiple of 56990 and 57009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56990 and 57009, than apply into the LCM equation.

GCF(56990,57009) = 1
LCM(56990,57009) = ( 56990 × 57009) / 1
LCM(56990,57009) = 3248942910 / 1
LCM(56990,57009) = 3248942910

Least Common Multiple (LCM) of 56990 and 57009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56990 and 57009. First we will calculate the prime factors of 56990 and 57009.

Prime Factorization of 56990

Prime factors of 56990 are 2, 5, 41, 139. Prime factorization of 56990 in exponential form is:

56990 = 21 × 51 × 411 × 1391

Prime Factorization of 57009

Prime factors of 57009 are 3, 31, 613. Prime factorization of 57009 in exponential form is:

57009 = 31 × 311 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 56990 and 57009.

LCM(56990,57009) = 21 × 51 × 411 × 1391 × 31 × 311 × 6131
LCM(56990,57009) = 3248942910