What is the Least Common Multiple of 48354 and 48360?

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 48354 and 48360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48354 and 48360, than apply into the LCM equation.

GCF(48354,48360) = 6
LCM(48354,48360) = ( 48354 × 48360) / 6
LCM(48354,48360) = 2338399440 / 6
LCM(48354,48360) = 389733240

Least Common Multiple (LCM) of 48354 and 48360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48354 and 48360. First we will calculate the prime factors of 48354 and 48360.

Prime Factorization of 48354

Prime Factorization of 48360

Now multiplying the highest exponent prime factors to calculate the LCM of 48354 and 48360.

LCM(48354,48360) = 2³ × 3¹ × 8059¹ × 5¹ × 13¹ × 31¹
LCM(48354,48360) = 389733240