What is the Least Common Multiple of 44034 and 44044?

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 44034 and 44044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44034 and 44044, than apply into the LCM equation.

GCF(44034,44044) = 2
LCM(44034,44044) = ( 44034 × 44044) / 2
LCM(44034,44044) = 1939433496 / 2
LCM(44034,44044) = 969716748

Least Common Multiple (LCM) of 44034 and 44044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44034 and 44044. First we will calculate the prime factors of 44034 and 44044.

Prime Factorization of 44034

Prime Factorization of 44044

Now multiplying the highest exponent prime factors to calculate the LCM of 44034 and 44044.

LCM(44034,44044) = 2² × 3¹ × 41¹ × 179¹ × 7¹ × 11² × 13¹
LCM(44034,44044) = 969716748