What is the Least Common Multiple of 44743 and 44756?

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 44743 and 44756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44743 and 44756, than apply into the LCM equation.

GCF(44743,44756) = 1
LCM(44743,44756) = ( 44743 × 44756) / 1
LCM(44743,44756) = 2002517708 / 1
LCM(44743,44756) = 2002517708

Least Common Multiple (LCM) of 44743 and 44756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44743 and 44756. First we will calculate the prime factors of 44743 and 44756.

Prime Factorization of 44743

Prime Factorization of 44756

Now multiplying the highest exponent prime factors to calculate the LCM of 44743 and 44756.

LCM(44743,44756) = 101¹ × 443¹ × 2² × 67¹ × 167¹
LCM(44743,44756) = 2002517708