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What is the Least Common Multiple of 80177 and 80186?

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 80177 and 80186 is 6429072922.

LCM(80177,80186) = 6429072922

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Least Common Multiple of 80177 and 80186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80177 and 80186, than apply into the LCM equation.

GCF(80177,80186) = 1
LCM(80177,80186) = ( 80177 × 80186) / 1
LCM(80177,80186) = 6429072922 / 1
LCM(80177,80186) = 6429072922

Least Common Multiple (LCM) of 80177 and 80186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80177 and 80186. First we will calculate the prime factors of 80177 and 80186.

Prime Factorization of 80177

Prime factors of 80177 are 80177. Prime factorization of 80177 in exponential form is:

80177 = 801771

Prime Factorization of 80186

Prime factors of 80186 are 2, 40093. Prime factorization of 80186 in exponential form is:

80186 = 21 × 400931

Now multiplying the highest exponent prime factors to calculate the LCM of 80177 and 80186.

LCM(80177,80186) = 801771 × 21 × 400931
LCM(80177,80186) = 6429072922