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What is the Least Common Multiple of 56652 and 56670?

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 56652 and 56670 is 535078140.

LCM(56652,56670) = 535078140

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Least Common Multiple of 56652 and 56670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56652 and 56670, than apply into the LCM equation.

GCF(56652,56670) = 6
LCM(56652,56670) = ( 56652 × 56670) / 6
LCM(56652,56670) = 3210468840 / 6
LCM(56652,56670) = 535078140

Least Common Multiple (LCM) of 56652 and 56670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56652 and 56670. First we will calculate the prime factors of 56652 and 56670.

Prime Factorization of 56652

Prime factors of 56652 are 2, 3, 4721. Prime factorization of 56652 in exponential form is:

56652 = 22 × 31 × 47211

Prime Factorization of 56670

Prime factors of 56670 are 2, 3, 5, 1889. Prime factorization of 56670 in exponential form is:

56670 = 21 × 31 × 51 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 56652 and 56670.

LCM(56652,56670) = 22 × 31 × 47211 × 51 × 18891
LCM(56652,56670) = 535078140