What is the Least Common Multiple of 44123 and 44138?

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 44123 and 44138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44123 and 44138, than apply into the LCM equation.

GCF(44123,44138) = 1
LCM(44123,44138) = ( 44123 × 44138) / 1
LCM(44123,44138) = 1947500974 / 1
LCM(44123,44138) = 1947500974

Least Common Multiple (LCM) of 44123 and 44138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44123 and 44138. First we will calculate the prime factors of 44123 and 44138.

Prime Factorization of 44123

Prime Factorization of 44138

Now multiplying the highest exponent prime factors to calculate the LCM of 44123 and 44138.

LCM(44123,44138) = 44123¹ × 2¹ × 29¹ × 761¹
LCM(44123,44138) = 1947500974