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What is the Least Common Multiple of 80637 and 80655?

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 80637 and 80655 is 2167925745.

LCM(80637,80655) = 2167925745

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Least Common Multiple of 80637 and 80655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80637 and 80655, than apply into the LCM equation.

GCF(80637,80655) = 3
LCM(80637,80655) = ( 80637 × 80655) / 3
LCM(80637,80655) = 6503777235 / 3
LCM(80637,80655) = 2167925745

Least Common Multiple (LCM) of 80637 and 80655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80637 and 80655. First we will calculate the prime factors of 80637 and 80655.

Prime Factorization of 80637

Prime factors of 80637 are 3, 26879. Prime factorization of 80637 in exponential form is:

80637 = 31 × 268791

Prime Factorization of 80655

Prime factors of 80655 are 3, 5, 19, 283. Prime factorization of 80655 in exponential form is:

80655 = 31 × 51 × 191 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 80637 and 80655.

LCM(80637,80655) = 31 × 268791 × 51 × 191 × 2831
LCM(80637,80655) = 2167925745