What is the Least Common Multiple of 44172 and 44184?

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 44184 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 44184, than apply into the LCM equation.

GCF(44172,44184) = 12
LCM(44172,44184) = ( 44172 × 44184) / 12
LCM(44172,44184) = 1951695648 / 12
LCM(44172,44184) = 162641304

Least Common Multiple (LCM) of 44172 and 44184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44172 and 44184. First we will calculate the prime factors of 44172 and 44184.

Prime Factorization of 44172

Prime Factorization of 44184

Now multiplying the highest exponent prime factors to calculate the LCM of 44172 and 44184.

LCM(44172,44184) = 2³ × 3³ × 409¹ × 7¹ × 263¹
LCM(44172,44184) = 162641304