What is the Least Common Multiple of 4752 and 4768?

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 4752 and 4768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4752 and 4768, than apply into the LCM equation.

GCF(4752,4768) = 16
LCM(4752,4768) = ( 4752 × 4768) / 16
LCM(4752,4768) = 22657536 / 16
LCM(4752,4768) = 1416096

Least Common Multiple (LCM) of 4752 and 4768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4752 and 4768. First we will calculate the prime factors of 4752 and 4768.

Prime Factorization of 4752

Prime Factorization of 4768

Now multiplying the highest exponent prime factors to calculate the LCM of 4752 and 4768.

LCM(4752,4768) = 2⁵ × 3³ × 11¹ × 149¹
LCM(4752,4768) = 1416096