What is the Least Common Multiple of 48480 and 48490?

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 48480 and 48490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48480 and 48490, than apply into the LCM equation.

GCF(48480,48490) = 10
LCM(48480,48490) = ( 48480 × 48490) / 10
LCM(48480,48490) = 2350795200 / 10
LCM(48480,48490) = 235079520

Least Common Multiple (LCM) of 48480 and 48490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48480 and 48490. First we will calculate the prime factors of 48480 and 48490.

Prime Factorization of 48480

Prime Factorization of 48490

Now multiplying the highest exponent prime factors to calculate the LCM of 48480 and 48490.

LCM(48480,48490) = 2⁵ × 3¹ × 5¹ × 101¹ × 13¹ × 373¹
LCM(48480,48490) = 235079520