What is the Least Common Multiple of 44024 and 44034?

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 44024 and 44034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44024 and 44034, than apply into the LCM equation.

GCF(44024,44034) = 2
LCM(44024,44034) = ( 44024 × 44034) / 2
LCM(44024,44034) = 1938552816 / 2
LCM(44024,44034) = 969276408

Least Common Multiple (LCM) of 44024 and 44034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44024 and 44034. First we will calculate the prime factors of 44024 and 44034.

Prime Factorization of 44024

Prime Factorization of 44034

Now multiplying the highest exponent prime factors to calculate the LCM of 44024 and 44034.

LCM(44024,44034) = 2³ × 5503¹ × 3¹ × 41¹ × 179¹
LCM(44024,44034) = 969276408