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What is the Least Common Multiple of 27177 and 27192?

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 27192 is 246332328.

LCM(27177,27192) = 246332328

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Least Common Multiple of 27177 and 27192 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 27192, than apply into the LCM equation.

GCF(27177,27192) = 3
LCM(27177,27192) = ( 27177 × 27192) / 3
LCM(27177,27192) = 738996984 / 3
LCM(27177,27192) = 246332328

Least Common Multiple (LCM) of 27177 and 27192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27177 and 27192. First we will calculate the prime factors of 27177 and 27192.

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 27192

Prime factors of 27192 are 2, 3, 11, 103. Prime factorization of 27192 in exponential form is:

27192 = 23 × 31 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 27177 and 27192.

LCM(27177,27192) = 31 × 90591 × 23 × 111 × 1031
LCM(27177,27192) = 246332328