What is the Least Common Multiple of 44136 and 44145?

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 44136 and 44145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44136 and 44145, than apply into the LCM equation.

GCF(44136,44145) = 9
LCM(44136,44145) = ( 44136 × 44145) / 9
LCM(44136,44145) = 1948383720 / 9
LCM(44136,44145) = 216487080

Least Common Multiple (LCM) of 44136 and 44145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44136 and 44145. First we will calculate the prime factors of 44136 and 44145.

Prime Factorization of 44136

Prime Factorization of 44145

Now multiplying the highest exponent prime factors to calculate the LCM of 44136 and 44145.

LCM(44136,44145) = 2³ × 3⁴ × 613¹ × 5¹ × 109¹
LCM(44136,44145) = 216487080