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What is the Least Common Multiple of 80619 and 80639?

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 80639 is 6501035541.

LCM(80619,80639) = 6501035541

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Least Common Multiple of 80619 and 80639 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 80639, than apply into the LCM equation.

GCF(80619,80639) = 1
LCM(80619,80639) = ( 80619 × 80639) / 1
LCM(80619,80639) = 6501035541 / 1
LCM(80619,80639) = 6501035541

Least Common Multiple (LCM) of 80619 and 80639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80619 and 80639. First we will calculate the prime factors of 80619 and 80639.

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 80639

Prime factors of 80639 are 13, 6203. Prime factorization of 80639 in exponential form is:

80639 = 131 × 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 80619 and 80639.

LCM(80619,80639) = 31 × 71 × 111 × 3491 × 131 × 62031
LCM(80619,80639) = 6501035541