What is the Least Common Multiple of 4709 and 4728?

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 4709 and 4728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4728, than apply into the LCM equation.

GCF(4709,4728) = 1
LCM(4709,4728) = ( 4709 × 4728) / 1
LCM(4709,4728) = 22264152 / 1
LCM(4709,4728) = 22264152

Least Common Multiple (LCM) of 4709 and 4728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4728. First we will calculate the prime factors of 4709 and 4728.

Prime Factorization of 4709

Prime Factorization of 4728

Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4728.

LCM(4709,4728) = 17¹ × 277¹ × 2³ × 3¹ × 197¹
LCM(4709,4728) = 22264152