What is the Least Common Multiple of 5382 and 5400?

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 5382 and 5400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5382 and 5400, than apply into the LCM equation.

GCF(5382,5400) = 18
LCM(5382,5400) = ( 5382 × 5400) / 18
LCM(5382,5400) = 29062800 / 18
LCM(5382,5400) = 1614600

Least Common Multiple (LCM) of 5382 and 5400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5382 and 5400. First we will calculate the prime factors of 5382 and 5400.

Prime Factorization of 5382

Prime Factorization of 5400

Now multiplying the highest exponent prime factors to calculate the LCM of 5382 and 5400.

LCM(5382,5400) = 2³ × 3³ × 13¹ × 23¹ × 5²
LCM(5382,5400) = 1614600