What is the Least Common Multiple of 27054 and 27059?

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 27054 and 27059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27054 and 27059, than apply into the LCM equation.

GCF(27054,27059) = 1
LCM(27054,27059) = ( 27054 × 27059) / 1
LCM(27054,27059) = 732054186 / 1
LCM(27054,27059) = 732054186

Least Common Multiple (LCM) of 27054 and 27059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27054 and 27059. First we will calculate the prime factors of 27054 and 27059.

Prime Factorization of 27054

Prime Factorization of 27059

Now multiplying the highest exponent prime factors to calculate the LCM of 27054 and 27059.

LCM(27054,27059) = 2¹ × 3⁴ × 167¹ × 27059¹
LCM(27054,27059) = 732054186