What is the Least Common Multiple of 54036 and 54045?

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 54036 and 54045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54036 and 54045, than apply into the LCM equation.

GCF(54036,54045) = 9
LCM(54036,54045) = ( 54036 × 54045) / 9
LCM(54036,54045) = 2920375620 / 9
LCM(54036,54045) = 324486180

Least Common Multiple (LCM) of 54036 and 54045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54036 and 54045. First we will calculate the prime factors of 54036 and 54045.

Prime Factorization of 54036

Prime Factorization of 54045

Now multiplying the highest exponent prime factors to calculate the LCM of 54036 and 54045.

LCM(54036,54045) = 2² × 3² × 19¹ × 79¹ × 5¹ × 1201¹
LCM(54036,54045) = 324486180