What is the Least Common Multiple of 44172 and 44189?

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 44172 and 44189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44172 and 44189, than apply into the LCM equation.

GCF(44172,44189) = 1
LCM(44172,44189) = ( 44172 × 44189) / 1
LCM(44172,44189) = 1951916508 / 1
LCM(44172,44189) = 1951916508

Least Common Multiple (LCM) of 44172 and 44189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44172 and 44189. First we will calculate the prime factors of 44172 and 44189.

Prime Factorization of 44172

Prime Factorization of 44189

Now multiplying the highest exponent prime factors to calculate the LCM of 44172 and 44189.

LCM(44172,44189) = 2² × 3³ × 409¹ × 44189¹
LCM(44172,44189) = 1951916508