What is the Least Common Multiple of 27113 and 27132?

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 27113 and 27132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27113 and 27132, than apply into the LCM equation.

GCF(27113,27132) = 19
LCM(27113,27132) = ( 27113 × 27132) / 19
LCM(27113,27132) = 735629916 / 19
LCM(27113,27132) = 38717364

Least Common Multiple (LCM) of 27113 and 27132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27113 and 27132. First we will calculate the prime factors of 27113 and 27132.

Prime Factorization of 27113

Prime Factorization of 27132

Now multiplying the highest exponent prime factors to calculate the LCM of 27113 and 27132.

LCM(27113,27132) = 19¹ × 1427¹ × 2² × 3¹ × 7¹ × 17¹
LCM(27113,27132) = 38717364