What is the Least Common Multiple of 44109 and 44115?

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 44115 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 44115, than apply into the LCM equation.

GCF(44109,44115) = 3
LCM(44109,44115) = ( 44109 × 44115) / 3
LCM(44109,44115) = 1945868535 / 3
LCM(44109,44115) = 648622845

Least Common Multiple (LCM) of 44109 and 44115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44109 and 44115. First we will calculate the prime factors of 44109 and 44115.

Prime Factorization of 44109

Prime Factorization of 44115

Now multiplying the highest exponent prime factors to calculate the LCM of 44109 and 44115.

LCM(44109,44115) = 3² × 13² × 29¹ × 5¹ × 17¹ × 173¹
LCM(44109,44115) = 648622845