What is the Least Common Multiple of 54111 and 54118?

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 54111 and 54118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54111 and 54118, than apply into the LCM equation.

GCF(54111,54118) = 1
LCM(54111,54118) = ( 54111 × 54118) / 1
LCM(54111,54118) = 2928379098 / 1
LCM(54111,54118) = 2928379098

Least Common Multiple (LCM) of 54111 and 54118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54111 and 54118. First we will calculate the prime factors of 54111 and 54118.

Prime Factorization of 54111

Prime Factorization of 54118

Now multiplying the highest exponent prime factors to calculate the LCM of 54111 and 54118.

LCM(54111,54118) = 3¹ × 17¹ × 1061¹ × 2¹ × 27059¹
LCM(54111,54118) = 2928379098