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What is the Least Common Multiple of 80965 and 80979?

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 80965 and 80979 is 6556464735.

LCM(80965,80979) = 6556464735

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Least Common Multiple of 80965 and 80979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80965 and 80979, than apply into the LCM equation.

GCF(80965,80979) = 1
LCM(80965,80979) = ( 80965 × 80979) / 1
LCM(80965,80979) = 6556464735 / 1
LCM(80965,80979) = 6556464735

Least Common Multiple (LCM) of 80965 and 80979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80965 and 80979. First we will calculate the prime factors of 80965 and 80979.

Prime Factorization of 80965

Prime factors of 80965 are 5, 16193. Prime factorization of 80965 in exponential form is:

80965 = 51 × 161931

Prime Factorization of 80979

Prime factors of 80979 are 3, 26993. Prime factorization of 80979 in exponential form is:

80979 = 31 × 269931

Now multiplying the highest exponent prime factors to calculate the LCM of 80965 and 80979.

LCM(80965,80979) = 51 × 161931 × 31 × 269931
LCM(80965,80979) = 6556464735