What is the Least Common Multiple of 69728 and 69735?

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 69735 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 69735, than apply into the LCM equation.

GCF(69728,69735) = 1
LCM(69728,69735) = ( 69728 × 69735) / 1
LCM(69728,69735) = 4862482080 / 1
LCM(69728,69735) = 4862482080

Least Common Multiple (LCM) of 69728 and 69735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69728 and 69735. First we will calculate the prime factors of 69728 and 69735.

Prime Factorization of 69728

Prime Factorization of 69735

Now multiplying the highest exponent prime factors to calculate the LCM of 69728 and 69735.

LCM(69728,69735) = 2⁵ × 2179¹ × 3¹ × 5¹ × 4649¹
LCM(69728,69735) = 4862482080