What is the Least Common Multiple of 44175 and 44195?

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 44175 and 44195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44175 and 44195, than apply into the LCM equation.

GCF(44175,44195) = 5
LCM(44175,44195) = ( 44175 × 44195) / 5
LCM(44175,44195) = 1952314125 / 5
LCM(44175,44195) = 390462825

Least Common Multiple (LCM) of 44175 and 44195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44175 and 44195. First we will calculate the prime factors of 44175 and 44195.

Prime Factorization of 44175

Prime Factorization of 44195

Now multiplying the highest exponent prime factors to calculate the LCM of 44175 and 44195.

LCM(44175,44195) = 3¹ × 5² × 19¹ × 31¹ × 8839¹
LCM(44175,44195) = 390462825