What is the Least Common Multiple of 44631 and 44641?

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 44631 and 44641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44631 and 44641, than apply into the LCM equation.

GCF(44631,44641) = 1
LCM(44631,44641) = ( 44631 × 44641) / 1
LCM(44631,44641) = 1992372471 / 1
LCM(44631,44641) = 1992372471

Least Common Multiple (LCM) of 44631 and 44641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44631 and 44641. First we will calculate the prime factors of 44631 and 44641.

Prime Factorization of 44631

Prime Factorization of 44641

Now multiplying the highest exponent prime factors to calculate the LCM of 44631 and 44641.

LCM(44631,44641) = 3⁴ × 19¹ × 29¹ × 44641¹
LCM(44631,44641) = 1992372471