What is the Least Common Multiple of 4749 and 4764?

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 4749 and 4764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4749 and 4764, than apply into the LCM equation.

GCF(4749,4764) = 3
LCM(4749,4764) = ( 4749 × 4764) / 3
LCM(4749,4764) = 22624236 / 3
LCM(4749,4764) = 7541412

Least Common Multiple (LCM) of 4749 and 4764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4749 and 4764. First we will calculate the prime factors of 4749 and 4764.

Prime Factorization of 4749

Prime Factorization of 4764

Now multiplying the highest exponent prime factors to calculate the LCM of 4749 and 4764.

LCM(4749,4764) = 3¹ × 1583¹ × 2² × 397¹
LCM(4749,4764) = 7541412