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What is the Least Common Multiple of 27177 and 27186?

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 27177 and 27186 is 246277974.

LCM(27177,27186) = 246277974

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Least Common Multiple of 27177 and 27186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27177 and 27186, than apply into the LCM equation.

GCF(27177,27186) = 3
LCM(27177,27186) = ( 27177 × 27186) / 3
LCM(27177,27186) = 738833922 / 3
LCM(27177,27186) = 246277974

Least Common Multiple (LCM) of 27177 and 27186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27177 and 27186. First we will calculate the prime factors of 27177 and 27186.

Prime Factorization of 27177

Prime factors of 27177 are 3, 9059. Prime factorization of 27177 in exponential form is:

27177 = 31 × 90591

Prime Factorization of 27186

Prime factors of 27186 are 2, 3, 23, 197. Prime factorization of 27186 in exponential form is:

27186 = 21 × 31 × 231 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 27177 and 27186.

LCM(27177,27186) = 31 × 90591 × 21 × 231 × 1971
LCM(27177,27186) = 246277974