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What is the Least Common Multiple of 80617 and 80621?

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 80617 and 80621 is 6499423157.

LCM(80617,80621) = 6499423157

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Least Common Multiple of 80617 and 80621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80617 and 80621, than apply into the LCM equation.

GCF(80617,80621) = 1
LCM(80617,80621) = ( 80617 × 80621) / 1
LCM(80617,80621) = 6499423157 / 1
LCM(80617,80621) = 6499423157

Least Common Multiple (LCM) of 80617 and 80621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80617 and 80621. First we will calculate the prime factors of 80617 and 80621.

Prime Factorization of 80617

Prime factors of 80617 are 19, 4243. Prime factorization of 80617 in exponential form is:

80617 = 191 × 42431

Prime Factorization of 80621

Prime factors of 80621 are 80621. Prime factorization of 80621 in exponential form is:

80621 = 806211

Now multiplying the highest exponent prime factors to calculate the LCM of 80617 and 80621.

LCM(80617,80621) = 191 × 42431 × 806211
LCM(80617,80621) = 6499423157