What is the Least Common Multiple of 54360 and 54366?

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 54360 and 54366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54360 and 54366, than apply into the LCM equation.

GCF(54360,54366) = 6
LCM(54360,54366) = ( 54360 × 54366) / 6
LCM(54360,54366) = 2955335760 / 6
LCM(54360,54366) = 492555960

Least Common Multiple (LCM) of 54360 and 54366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54360 and 54366. First we will calculate the prime factors of 54360 and 54366.

Prime Factorization of 54360

Prime Factorization of 54366

Now multiplying the highest exponent prime factors to calculate the LCM of 54360 and 54366.

LCM(54360,54366) = 2³ × 3² × 5¹ × 151¹ × 13¹ × 17¹ × 41¹
LCM(54360,54366) = 492555960