What is the Least Common Multiple of 54360 and 54378?

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 54378 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 54378, than apply into the LCM equation.

GCF(54360,54378) = 18
LCM(54360,54378) = ( 54360 × 54378) / 18
LCM(54360,54378) = 2955988080 / 18
LCM(54360,54378) = 164221560

Least Common Multiple (LCM) of 54360 and 54378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54360 and 54378. First we will calculate the prime factors of 54360 and 54378.

Prime Factorization of 54360

Prime Factorization of 54378

Now multiplying the highest exponent prime factors to calculate the LCM of 54360 and 54378.

LCM(54360,54378) = 2³ × 3³ × 5¹ × 151¹ × 19¹ × 53¹
LCM(54360,54378) = 164221560