GCF and LCM Calculator Logo

What is the Least Common Multiple of 27118 and 27126?

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 27118 and 27126 is 367801434.

LCM(27118,27126) = 367801434

LCM Calculator and
and

Least Common Multiple of 27118 and 27126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27118 and 27126, than apply into the LCM equation.

GCF(27118,27126) = 2
LCM(27118,27126) = ( 27118 × 27126) / 2
LCM(27118,27126) = 735602868 / 2
LCM(27118,27126) = 367801434

Least Common Multiple (LCM) of 27118 and 27126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27118 and 27126. First we will calculate the prime factors of 27118 and 27126.

Prime Factorization of 27118

Prime factors of 27118 are 2, 7, 13, 149. Prime factorization of 27118 in exponential form is:

27118 = 21 × 71 × 131 × 1491

Prime Factorization of 27126

Prime factors of 27126 are 2, 3, 11, 137. Prime factorization of 27126 in exponential form is:

27126 = 21 × 32 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 27118 and 27126.

LCM(27118,27126) = 21 × 71 × 131 × 1491 × 32 × 111 × 1371
LCM(27118,27126) = 367801434