What is the Least Common Multiple of 4728 and 4748?

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 4728 and 4748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4728 and 4748, than apply into the LCM equation.

GCF(4728,4748) = 4
LCM(4728,4748) = ( 4728 × 4748) / 4
LCM(4728,4748) = 22448544 / 4
LCM(4728,4748) = 5612136

Least Common Multiple (LCM) of 4728 and 4748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4748. First we will calculate the prime factors of 4728 and 4748.

Prime Factorization of 4728

Prime Factorization of 4748

Now multiplying the highest exponent prime factors to calculate the LCM of 4728 and 4748.

LCM(4728,4748) = 2³ × 3¹ × 197¹ × 1187¹
LCM(4728,4748) = 5612136