GCF and LCM Calculator Logo

What is the Least Common Multiple of 4724 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 (LCM) of 4724 and 4728 is 5583768.

LCM(4724,4728) = 5583768

LCM Calculator and
and

Least Common Multiple of 4724 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 4724 and 4728, than apply into the LCM equation.

GCF(4724,4728) = 4
LCM(4724,4728) = ( 4724 × 4728) / 4
LCM(4724,4728) = 22335072 / 4
LCM(4724,4728) = 5583768

Least Common Multiple (LCM) of 4724 and 4728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4724 and 4728. First we will calculate the prime factors of 4724 and 4728.

Prime Factorization of 4724

Prime factors of 4724 are 2, 1181. Prime factorization of 4724 in exponential form is:

4724 = 22 × 11811

Prime Factorization of 4728

Prime factors of 4728 are 2, 3, 197. Prime factorization of 4728 in exponential form is:

4728 = 23 × 31 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 4724 and 4728.

LCM(4724,4728) = 23 × 11811 × 31 × 1971
LCM(4724,4728) = 5583768