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What is the Least Common Multiple of 27620 and 27627?

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 27620 and 27627 is 763057740.

LCM(27620,27627) = 763057740

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Least Common Multiple of 27620 and 27627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27620 and 27627, than apply into the LCM equation.

GCF(27620,27627) = 1
LCM(27620,27627) = ( 27620 × 27627) / 1
LCM(27620,27627) = 763057740 / 1
LCM(27620,27627) = 763057740

Least Common Multiple (LCM) of 27620 and 27627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27620 and 27627. First we will calculate the prime factors of 27620 and 27627.

Prime Factorization of 27620

Prime factors of 27620 are 2, 5, 1381. Prime factorization of 27620 in exponential form is:

27620 = 22 × 51 × 13811

Prime Factorization of 27627

Prime factors of 27627 are 3, 9209. Prime factorization of 27627 in exponential form is:

27627 = 31 × 92091

Now multiplying the highest exponent prime factors to calculate the LCM of 27620 and 27627.

LCM(27620,27627) = 22 × 51 × 13811 × 31 × 92091
LCM(27620,27627) = 763057740