What is the Least Common Multiple of 4704 and 4719?

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 4704 and 4719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4704 and 4719, than apply into the LCM equation.

GCF(4704,4719) = 3
LCM(4704,4719) = ( 4704 × 4719) / 3
LCM(4704,4719) = 22198176 / 3
LCM(4704,4719) = 7399392

Least Common Multiple (LCM) of 4704 and 4719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4704 and 4719. First we will calculate the prime factors of 4704 and 4719.

Prime Factorization of 4704

Prime Factorization of 4719

Now multiplying the highest exponent prime factors to calculate the LCM of 4704 and 4719.

LCM(4704,4719) = 2⁵ × 3¹ × 7² × 11² × 13¹
LCM(4704,4719) = 7399392