What is the Least Common Multiple of 44023 and 44042?

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 44023 and 44042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44023 and 44042, than apply into the LCM equation.

GCF(44023,44042) = 19
LCM(44023,44042) = ( 44023 × 44042) / 19
LCM(44023,44042) = 1938860966 / 19
LCM(44023,44042) = 102045314

Least Common Multiple (LCM) of 44023 and 44042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44023 and 44042. First we will calculate the prime factors of 44023 and 44042.

Prime Factorization of 44023

Prime Factorization of 44042

Now multiplying the highest exponent prime factors to calculate the LCM of 44023 and 44042.

LCM(44023,44042) = 7¹ × 19² × 331¹ × 2¹ × 61¹
LCM(44023,44042) = 102045314