What is the Least Common Multiple of 4728 and 4742?

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 4742 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 4742, than apply into the LCM equation.

GCF(4728,4742) = 2
LCM(4728,4742) = ( 4728 × 4742) / 2
LCM(4728,4742) = 22420176 / 2
LCM(4728,4742) = 11210088

Least Common Multiple (LCM) of 4728 and 4742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4742. First we will calculate the prime factors of 4728 and 4742.

Prime Factorization of 4728

Prime Factorization of 4742

Now multiplying the highest exponent prime factors to calculate the LCM of 4728 and 4742.

LCM(4728,4742) = 2³ × 3¹ × 197¹ × 2371¹
LCM(4728,4742) = 11210088