What is the Least Common Multiple of 54090 and 54108?

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 54090 and 54108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54090 and 54108, than apply into the LCM equation.

GCF(54090,54108) = 18
LCM(54090,54108) = ( 54090 × 54108) / 18
LCM(54090,54108) = 2926701720 / 18
LCM(54090,54108) = 162594540

Least Common Multiple (LCM) of 54090 and 54108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54090 and 54108. First we will calculate the prime factors of 54090 and 54108.

Prime Factorization of 54090

Prime Factorization of 54108

Now multiplying the highest exponent prime factors to calculate the LCM of 54090 and 54108.

LCM(54090,54108) = 2² × 3⁴ × 5¹ × 601¹ × 167¹
LCM(54090,54108) = 162594540