What is the Least Common Multiple of 23728 and 23735?

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 23728 and 23735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23728 and 23735, than apply into the LCM equation.

GCF(23728,23735) = 1
LCM(23728,23735) = ( 23728 × 23735) / 1
LCM(23728,23735) = 563184080 / 1
LCM(23728,23735) = 563184080

Least Common Multiple (LCM) of 23728 and 23735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23728 and 23735. First we will calculate the prime factors of 23728 and 23735.

Prime Factorization of 23728

Prime Factorization of 23735

Now multiplying the highest exponent prime factors to calculate the LCM of 23728 and 23735.

LCM(23728,23735) = 2⁴ × 1483¹ × 5¹ × 47¹ × 101¹
LCM(23728,23735) = 563184080