What is the Least Common Multiple of 48360 and 48378?

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 48360 and 48378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48360 and 48378, than apply into the LCM equation.

GCF(48360,48378) = 6
LCM(48360,48378) = ( 48360 × 48378) / 6
LCM(48360,48378) = 2339560080 / 6
LCM(48360,48378) = 389926680

Least Common Multiple (LCM) of 48360 and 48378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48360 and 48378. First we will calculate the prime factors of 48360 and 48378.

Prime Factorization of 48360

Prime Factorization of 48378

Now multiplying the highest exponent prime factors to calculate the LCM of 48360 and 48378.

LCM(48360,48378) = 2³ × 3¹ × 5¹ × 13¹ × 31¹ × 11¹ × 733¹
LCM(48360,48378) = 389926680