What is the Least Common Multiple of 69728 and 69739?

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 69728 and 69739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69728 and 69739, than apply into the LCM equation.

GCF(69728,69739) = 1
LCM(69728,69739) = ( 69728 × 69739) / 1
LCM(69728,69739) = 4862760992 / 1
LCM(69728,69739) = 4862760992

Least Common Multiple (LCM) of 69728 and 69739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69728 and 69739. First we will calculate the prime factors of 69728 and 69739.

Prime Factorization of 69728

Prime Factorization of 69739

Now multiplying the highest exponent prime factors to calculate the LCM of 69728 and 69739.

LCM(69728,69739) = 2⁵ × 2179¹ × 69739¹
LCM(69728,69739) = 4862760992