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What is the Least Common Multiple of 27018 and 27038?

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 27018 and 27038 is 365256342.

LCM(27018,27038) = 365256342

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Least Common Multiple of 27018 and 27038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27018 and 27038, than apply into the LCM equation.

GCF(27018,27038) = 2
LCM(27018,27038) = ( 27018 × 27038) / 2
LCM(27018,27038) = 730512684 / 2
LCM(27018,27038) = 365256342

Least Common Multiple (LCM) of 27018 and 27038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27018 and 27038. First we will calculate the prime factors of 27018 and 27038.

Prime Factorization of 27018

Prime factors of 27018 are 2, 3, 19, 79. Prime factorization of 27018 in exponential form is:

27018 = 21 × 32 × 191 × 791

Prime Factorization of 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 21 × 111 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 27018 and 27038.

LCM(27018,27038) = 21 × 32 × 191 × 791 × 111 × 12291
LCM(27018,27038) = 365256342