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What is the Least Common Multiple of 65665 and 65679?

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 65665 and 65679 is 4312811535.

LCM(65665,65679) = 4312811535

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Least Common Multiple of 65665 and 65679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65665 and 65679, than apply into the LCM equation.

GCF(65665,65679) = 1
LCM(65665,65679) = ( 65665 × 65679) / 1
LCM(65665,65679) = 4312811535 / 1
LCM(65665,65679) = 4312811535

Least Common Multiple (LCM) of 65665 and 65679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65665 and 65679. First we will calculate the prime factors of 65665 and 65679.

Prime Factorization of 65665

Prime factors of 65665 are 5, 23, 571. Prime factorization of 65665 in exponential form is:

65665 = 51 × 231 × 5711

Prime Factorization of 65679

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

65679 = 31 × 218931

Now multiplying the highest exponent prime factors to calculate the LCM of 65665 and 65679.

LCM(65665,65679) = 51 × 231 × 5711 × 31 × 218931
LCM(65665,65679) = 4312811535