What is the Least Common Multiple of 44109 and 44118?

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 44109 and 44118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44109 and 44118, than apply into the LCM equation.

GCF(44109,44118) = 9
LCM(44109,44118) = ( 44109 × 44118) / 9
LCM(44109,44118) = 1946000862 / 9
LCM(44109,44118) = 216222318

Least Common Multiple (LCM) of 44109 and 44118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44109 and 44118. First we will calculate the prime factors of 44109 and 44118.

Prime Factorization of 44109

Prime Factorization of 44118

Now multiplying the highest exponent prime factors to calculate the LCM of 44109 and 44118.

LCM(44109,44118) = 3³ × 13² × 29¹ × 2¹ × 19¹ × 43¹
LCM(44109,44118) = 216222318