What is the Least Common Multiple of 44132 and 44139?

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 44132 and 44139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44132 and 44139, than apply into the LCM equation.

GCF(44132,44139) = 1
LCM(44132,44139) = ( 44132 × 44139) / 1
LCM(44132,44139) = 1947942348 / 1
LCM(44132,44139) = 1947942348

Least Common Multiple (LCM) of 44132 and 44139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44132 and 44139. First we will calculate the prime factors of 44132 and 44139.

Prime Factorization of 44132

Prime Factorization of 44139

Now multiplying the highest exponent prime factors to calculate the LCM of 44132 and 44139.

LCM(44132,44139) = 2² × 11¹ × 17¹ × 59¹ × 3¹ × 14713¹
LCM(44132,44139) = 1947942348