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What is the Least Common Multiple of 20177 and 20186?

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 20177 and 20186 is 407292922.

LCM(20177,20186) = 407292922

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Least Common Multiple of 20177 and 20186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20177 and 20186, than apply into the LCM equation.

GCF(20177,20186) = 1
LCM(20177,20186) = ( 20177 × 20186) / 1
LCM(20177,20186) = 407292922 / 1
LCM(20177,20186) = 407292922

Least Common Multiple (LCM) of 20177 and 20186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20177 and 20186. First we will calculate the prime factors of 20177 and 20186.

Prime Factorization of 20177

Prime factors of 20177 are 20177. Prime factorization of 20177 in exponential form is:

20177 = 201771

Prime Factorization of 20186

Prime factors of 20186 are 2, 10093. Prime factorization of 20186 in exponential form is:

20186 = 21 × 100931

Now multiplying the highest exponent prime factors to calculate the LCM of 20177 and 20186.

LCM(20177,20186) = 201771 × 21 × 100931
LCM(20177,20186) = 407292922