GCF and LCM Calculator Logo

What is the Least Common Multiple of 27318 and 27330?

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 27318 and 27330 is 124433490.

LCM(27318,27330) = 124433490

LCM Calculator and
and

Least Common Multiple of 27318 and 27330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27318 and 27330, than apply into the LCM equation.

GCF(27318,27330) = 6
LCM(27318,27330) = ( 27318 × 27330) / 6
LCM(27318,27330) = 746600940 / 6
LCM(27318,27330) = 124433490

Least Common Multiple (LCM) of 27318 and 27330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27318 and 27330. First we will calculate the prime factors of 27318 and 27330.

Prime Factorization of 27318

Prime factors of 27318 are 2, 3, 29, 157. Prime factorization of 27318 in exponential form is:

27318 = 21 × 31 × 291 × 1571

Prime Factorization of 27330

Prime factors of 27330 are 2, 3, 5, 911. Prime factorization of 27330 in exponential form is:

27330 = 21 × 31 × 51 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 27318 and 27330.

LCM(27318,27330) = 21 × 31 × 291 × 1571 × 51 × 9111
LCM(27318,27330) = 124433490