What is the Least Common Multiple of 73743 and 73752?

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 73743 and 73752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73743 and 73752, than apply into the LCM equation.

GCF(73743,73752) = 3
LCM(73743,73752) = ( 73743 × 73752) / 3
LCM(73743,73752) = 5438693736 / 3
LCM(73743,73752) = 1812897912

Least Common Multiple (LCM) of 73743 and 73752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73743 and 73752. First we will calculate the prime factors of 73743 and 73752.

Prime Factorization of 73743

Prime Factorization of 73752

Now multiplying the highest exponent prime factors to calculate the LCM of 73743 and 73752.

LCM(73743,73752) = 3¹ × 47¹ × 523¹ × 2³ × 7¹ × 439¹
LCM(73743,73752) = 1812897912