What is the Least Common Multiple of 27162 and 27171?

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 27162 and 27171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27162 and 27171, than apply into the LCM equation.

GCF(27162,27171) = 9
LCM(27162,27171) = ( 27162 × 27171) / 9
LCM(27162,27171) = 738018702 / 9
LCM(27162,27171) = 82002078

Least Common Multiple (LCM) of 27162 and 27171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27162 and 27171. First we will calculate the prime factors of 27162 and 27171.

Prime Factorization of 27162

Prime Factorization of 27171

Now multiplying the highest exponent prime factors to calculate the LCM of 27162 and 27171.

LCM(27162,27171) = 2¹ × 3³ × 503¹ × 3019¹
LCM(27162,27171) = 82002078