What is the Least Common Multiple of 44172 and 44181?

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 44181 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 44181, than apply into the LCM equation.

GCF(44172,44181) = 9
LCM(44172,44181) = ( 44172 × 44181) / 9
LCM(44172,44181) = 1951563132 / 9
LCM(44172,44181) = 216840348

Least Common Multiple (LCM) of 44172 and 44181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44172 and 44181. First we will calculate the prime factors of 44172 and 44181.

Prime Factorization of 44172

Prime Factorization of 44181

Now multiplying the highest exponent prime factors to calculate the LCM of 44172 and 44181.

LCM(44172,44181) = 2² × 3³ × 409¹ × 4909¹
LCM(44172,44181) = 216840348