What is the Least Common Multiple of 27114 and 27128?

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 of 27114 and 27128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27114 and 27128, than apply into the LCM equation.

GCF(27114,27128) = 2
LCM(27114,27128) = ( 27114 × 27128) / 2
LCM(27114,27128) = 735548592 / 2
LCM(27114,27128) = 367774296

Least Common Multiple (LCM) of 27114 and 27128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27114 and 27128. First we will calculate the prime factors of 27114 and 27128.

Prime Factorization of 27114

Prime Factorization of 27128

Now multiplying the highest exponent prime factors to calculate the LCM of 27114 and 27128.

LCM(27114,27128) = 2³ × 3¹ × 4519¹ × 3391¹
LCM(27114,27128) = 367774296