What is the Least Common Multiple of 75723 and 75738?

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 75723 and 75738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75723 and 75738, than apply into the LCM equation.

GCF(75723,75738) = 3
LCM(75723,75738) = ( 75723 × 75738) / 3
LCM(75723,75738) = 5735108574 / 3
LCM(75723,75738) = 1911702858

Least Common Multiple (LCM) of 75723 and 75738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75723 and 75738. First we will calculate the prime factors of 75723 and 75738.

Prime Factorization of 75723

Prime Factorization of 75738

Now multiplying the highest exponent prime factors to calculate the LCM of 75723 and 75738.

LCM(75723,75738) = 3¹ × 43¹ × 587¹ × 2¹ × 13¹ × 971¹
LCM(75723,75738) = 1911702858