What is the Least Common Multiple of 40725 and 40743?

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 40725 and 40743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40725 and 40743, than apply into the LCM equation.

GCF(40725,40743) = 9
LCM(40725,40743) = ( 40725 × 40743) / 9
LCM(40725,40743) = 1659258675 / 9
LCM(40725,40743) = 184362075

Least Common Multiple (LCM) of 40725 and 40743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40725 and 40743. First we will calculate the prime factors of 40725 and 40743.

Prime Factorization of 40725

Prime Factorization of 40743

Now multiplying the highest exponent prime factors to calculate the LCM of 40725 and 40743.

LCM(40725,40743) = 3⁴ × 5² × 181¹ × 503¹
LCM(40725,40743) = 184362075