What is the Least Common Multiple of 27156 and 27172?

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 27156 and 27172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27156 and 27172, than apply into the LCM equation.

GCF(27156,27172) = 4
LCM(27156,27172) = ( 27156 × 27172) / 4
LCM(27156,27172) = 737882832 / 4
LCM(27156,27172) = 184470708

Least Common Multiple (LCM) of 27156 and 27172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27156 and 27172. First we will calculate the prime factors of 27156 and 27172.

Prime Factorization of 27156

Prime Factorization of 27172

Now multiplying the highest exponent prime factors to calculate the LCM of 27156 and 27172.

LCM(27156,27172) = 2² × 3¹ × 31¹ × 73¹ × 6793¹
LCM(27156,27172) = 184470708