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What is the Least Common Multiple of 27657 and 27662?

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 27657 and 27662 is 765047934.

LCM(27657,27662) = 765047934

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Least Common Multiple of 27657 and 27662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27657 and 27662, than apply into the LCM equation.

GCF(27657,27662) = 1
LCM(27657,27662) = ( 27657 × 27662) / 1
LCM(27657,27662) = 765047934 / 1
LCM(27657,27662) = 765047934

Least Common Multiple (LCM) of 27657 and 27662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27657 and 27662. First we will calculate the prime factors of 27657 and 27662.

Prime Factorization of 27657

Prime factors of 27657 are 3, 7, 439. Prime factorization of 27657 in exponential form is:

27657 = 32 × 71 × 4391

Prime Factorization of 27662

Prime factors of 27662 are 2, 13831. Prime factorization of 27662 in exponential form is:

27662 = 21 × 138311

Now multiplying the highest exponent prime factors to calculate the LCM of 27657 and 27662.

LCM(27657,27662) = 32 × 71 × 4391 × 21 × 138311
LCM(27657,27662) = 765047934