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What is the Least Common Multiple of 80619 and 80635?

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 80619 and 80635 is 6500713065.

LCM(80619,80635) = 6500713065

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Least Common Multiple of 80619 and 80635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80619 and 80635, than apply into the LCM equation.

GCF(80619,80635) = 1
LCM(80619,80635) = ( 80619 × 80635) / 1
LCM(80619,80635) = 6500713065 / 1
LCM(80619,80635) = 6500713065

Least Common Multiple (LCM) of 80619 and 80635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80619 and 80635. First we will calculate the prime factors of 80619 and 80635.

Prime Factorization of 80619

Prime factors of 80619 are 3, 7, 11, 349. Prime factorization of 80619 in exponential form is:

80619 = 31 × 71 × 111 × 3491

Prime Factorization of 80635

Prime factors of 80635 are 5, 16127. Prime factorization of 80635 in exponential form is:

80635 = 51 × 161271

Now multiplying the highest exponent prime factors to calculate the LCM of 80619 and 80635.

LCM(80619,80635) = 31 × 71 × 111 × 3491 × 51 × 161271
LCM(80619,80635) = 6500713065