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What is the Least Common Multiple of 56679 and 56694?

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 56679 and 56694 is 1071119742.

LCM(56679,56694) = 1071119742

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Least Common Multiple of 56679 and 56694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56679 and 56694, than apply into the LCM equation.

GCF(56679,56694) = 3
LCM(56679,56694) = ( 56679 × 56694) / 3
LCM(56679,56694) = 3213359226 / 3
LCM(56679,56694) = 1071119742

Least Common Multiple (LCM) of 56679 and 56694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56679 and 56694. First we will calculate the prime factors of 56679 and 56694.

Prime Factorization of 56679

Prime factors of 56679 are 3, 7, 2699. Prime factorization of 56679 in exponential form is:

56679 = 31 × 71 × 26991

Prime Factorization of 56694

Prime factors of 56694 are 2, 3, 11, 859. Prime factorization of 56694 in exponential form is:

56694 = 21 × 31 × 111 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 56679 and 56694.

LCM(56679,56694) = 31 × 71 × 26991 × 21 × 111 × 8591
LCM(56679,56694) = 1071119742