What is the Least Common Multiple of 44156 and 44172?

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 44156 and 44172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44156 and 44172, than apply into the LCM equation.

GCF(44156,44172) = 4
LCM(44156,44172) = ( 44156 × 44172) / 4
LCM(44156,44172) = 1950458832 / 4
LCM(44156,44172) = 487614708

Least Common Multiple (LCM) of 44156 and 44172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44156 and 44172. First we will calculate the prime factors of 44156 and 44172.

Prime Factorization of 44156

Prime Factorization of 44172

Now multiplying the highest exponent prime factors to calculate the LCM of 44156 and 44172.

LCM(44156,44172) = 2² × 7¹ × 19¹ × 83¹ × 3³ × 409¹
LCM(44156,44172) = 487614708