What is the Least Common Multiple of 48750 and 48768?

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 48750 and 48768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48750 and 48768, than apply into the LCM equation.

GCF(48750,48768) = 6
LCM(48750,48768) = ( 48750 × 48768) / 6
LCM(48750,48768) = 2377440000 / 6
LCM(48750,48768) = 396240000

Least Common Multiple (LCM) of 48750 and 48768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48750 and 48768. First we will calculate the prime factors of 48750 and 48768.

Prime Factorization of 48750

Prime Factorization of 48768

Now multiplying the highest exponent prime factors to calculate the LCM of 48750 and 48768.

LCM(48750,48768) = 2⁷ × 3¹ × 5⁴ × 13¹ × 127¹
LCM(48750,48768) = 396240000