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What is the Least Common Multiple of 65679 and 65697?

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 65679 and 65697 is 1438304421.

LCM(65679,65697) = 1438304421

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Least Common Multiple of 65679 and 65697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65679 and 65697, than apply into the LCM equation.

GCF(65679,65697) = 3
LCM(65679,65697) = ( 65679 × 65697) / 3
LCM(65679,65697) = 4314913263 / 3
LCM(65679,65697) = 1438304421

Least Common Multiple (LCM) of 65679 and 65697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65679 and 65697. First we will calculate the prime factors of 65679 and 65697.

Prime Factorization of 65679

Prime factors of 65679 are 3, 21893. Prime factorization of 65679 in exponential form is:

65679 = 31 × 218931

Prime Factorization of 65697

Prime factors of 65697 are 3, 61, 359. Prime factorization of 65697 in exponential form is:

65697 = 31 × 611 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 65679 and 65697.

LCM(65679,65697) = 31 × 218931 × 611 × 3591
LCM(65679,65697) = 1438304421