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What is the Least Common Multiple of 27620 and 27634?

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 27634 is 381625540.

LCM(27620,27634) = 381625540

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Least Common Multiple of 27620 and 27634 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 27634, than apply into the LCM equation.

GCF(27620,27634) = 2
LCM(27620,27634) = ( 27620 × 27634) / 2
LCM(27620,27634) = 763251080 / 2
LCM(27620,27634) = 381625540

Least Common Multiple (LCM) of 27620 and 27634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27620 and 27634. First we will calculate the prime factors of 27620 and 27634.

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 27634

Prime factors of 27634 are 2, 41, 337. Prime factorization of 27634 in exponential form is:

27634 = 21 × 411 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 27620 and 27634.

LCM(27620,27634) = 22 × 51 × 13811 × 411 × 3371
LCM(27620,27634) = 381625540