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What is the Least Common Multiple of 56679 and 56697?

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 56697 is 1071176421.

LCM(56679,56697) = 1071176421

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Least Common Multiple of 56679 and 56697 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 56697, than apply into the LCM equation.

GCF(56679,56697) = 3
LCM(56679,56697) = ( 56679 × 56697) / 3
LCM(56679,56697) = 3213529263 / 3
LCM(56679,56697) = 1071176421

Least Common Multiple (LCM) of 56679 and 56697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56679 and 56697. First we will calculate the prime factors of 56679 and 56697.

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 56697

Prime factors of 56697 are 3, 18899. Prime factorization of 56697 in exponential form is:

56697 = 31 × 188991

Now multiplying the highest exponent prime factors to calculate the LCM of 56679 and 56697.

LCM(56679,56697) = 31 × 71 × 26991 × 188991
LCM(56679,56697) = 1071176421