What is the Least Common Multiple of 54084 and 54090?

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 54084 and 54090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54084 and 54090, than apply into the LCM equation.

GCF(54084,54090) = 6
LCM(54084,54090) = ( 54084 × 54090) / 6
LCM(54084,54090) = 2925403560 / 6
LCM(54084,54090) = 487567260

Least Common Multiple (LCM) of 54084 and 54090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54084 and 54090. First we will calculate the prime factors of 54084 and 54090.

Prime Factorization of 54084

Prime Factorization of 54090

Now multiplying the highest exponent prime factors to calculate the LCM of 54084 and 54090.

LCM(54084,54090) = 2² × 3² × 4507¹ × 5¹ × 601¹
LCM(54084,54090) = 487567260