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What is the Least Common Multiple of 80551 and 80571?

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 80551 and 80571 is 6490074621.

LCM(80551,80571) = 6490074621

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Least Common Multiple of 80551 and 80571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80551 and 80571, than apply into the LCM equation.

GCF(80551,80571) = 1
LCM(80551,80571) = ( 80551 × 80571) / 1
LCM(80551,80571) = 6490074621 / 1
LCM(80551,80571) = 6490074621

Least Common Multiple (LCM) of 80551 and 80571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80551 and 80571. First we will calculate the prime factors of 80551 and 80571.

Prime Factorization of 80551

Prime factors of 80551 are 109, 739. Prime factorization of 80551 in exponential form is:

80551 = 1091 × 7391

Prime Factorization of 80571

Prime factors of 80571 are 3, 107, 251. Prime factorization of 80571 in exponential form is:

80571 = 31 × 1071 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 80551 and 80571.

LCM(80551,80571) = 1091 × 7391 × 31 × 1071 × 2511
LCM(80551,80571) = 6490074621