What is the Least Common Multiple of 44185 and 44200?

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 44185 and 44200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44185 and 44200, than apply into the LCM equation.

GCF(44185,44200) = 5
LCM(44185,44200) = ( 44185 × 44200) / 5
LCM(44185,44200) = 1952977000 / 5
LCM(44185,44200) = 390595400

Least Common Multiple (LCM) of 44185 and 44200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44185 and 44200. First we will calculate the prime factors of 44185 and 44200.

Prime Factorization of 44185

Prime Factorization of 44200

Now multiplying the highest exponent prime factors to calculate the LCM of 44185 and 44200.

LCM(44185,44200) = 5² × 8837¹ × 2³ × 13¹ × 17¹
LCM(44185,44200) = 390595400