What is the Least Common Multiple of 23735 and 23743?

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 23735 and 23743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23735 and 23743, than apply into the LCM equation.

GCF(23735,23743) = 1
LCM(23735,23743) = ( 23735 × 23743) / 1
LCM(23735,23743) = 563540105 / 1
LCM(23735,23743) = 563540105

Least Common Multiple (LCM) of 23735 and 23743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23735 and 23743. First we will calculate the prime factors of 23735 and 23743.

Prime Factorization of 23735

Prime Factorization of 23743

Now multiplying the highest exponent prime factors to calculate the LCM of 23735 and 23743.

LCM(23735,23743) = 5¹ × 47¹ × 101¹ × 23743¹
LCM(23735,23743) = 563540105