What is the Least Common Multiple of 27174 and 27188?

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 27174 and 27188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27174 and 27188, than apply into the LCM equation.

GCF(27174,27188) = 14
LCM(27174,27188) = ( 27174 × 27188) / 14
LCM(27174,27188) = 738806712 / 14
LCM(27174,27188) = 52771908

Least Common Multiple (LCM) of 27174 and 27188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27174 and 27188. First we will calculate the prime factors of 27174 and 27188.

Prime Factorization of 27174

Prime Factorization of 27188

Now multiplying the highest exponent prime factors to calculate the LCM of 27174 and 27188.

LCM(27174,27188) = 2² × 3¹ × 7¹ × 647¹ × 971¹
LCM(27174,27188) = 52771908