What is the Least Common Multiple of 44045 and 44061?

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 44045 and 44061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44045 and 44061, than apply into the LCM equation.

GCF(44045,44061) = 1
LCM(44045,44061) = ( 44045 × 44061) / 1
LCM(44045,44061) = 1940666745 / 1
LCM(44045,44061) = 1940666745

Least Common Multiple (LCM) of 44045 and 44061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44045 and 44061. First we will calculate the prime factors of 44045 and 44061.

Prime Factorization of 44045

Prime Factorization of 44061

Now multiplying the highest exponent prime factors to calculate the LCM of 44045 and 44061.

LCM(44045,44061) = 5¹ × 23¹ × 383¹ × 3¹ × 19¹ × 773¹
LCM(44045,44061) = 1940666745