What is the Least Common Multiple of 41325 and 41344?

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 41325 and 41344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41325 and 41344, than apply into the LCM equation.

GCF(41325,41344) = 19
LCM(41325,41344) = ( 41325 × 41344) / 19
LCM(41325,41344) = 1708540800 / 19
LCM(41325,41344) = 89923200

Least Common Multiple (LCM) of 41325 and 41344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41325 and 41344. First we will calculate the prime factors of 41325 and 41344.

Prime Factorization of 41325

Prime Factorization of 41344

Now multiplying the highest exponent prime factors to calculate the LCM of 41325 and 41344.

LCM(41325,41344) = 3¹ × 5² × 19¹ × 29¹ × 2⁷ × 17¹
LCM(41325,41344) = 89923200