What is the Least Common Multiple of 41825 and 41844?

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 41825 and 41844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41825 and 41844, than apply into the LCM equation.

GCF(41825,41844) = 1
LCM(41825,41844) = ( 41825 × 41844) / 1
LCM(41825,41844) = 1750125300 / 1
LCM(41825,41844) = 1750125300

Least Common Multiple (LCM) of 41825 and 41844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41825 and 41844. First we will calculate the prime factors of 41825 and 41844.

Prime Factorization of 41825

Prime Factorization of 41844

Now multiplying the highest exponent prime factors to calculate the LCM of 41825 and 41844.

LCM(41825,41844) = 5² × 7¹ × 239¹ × 2² × 3¹ × 11¹ × 317¹
LCM(41825,41844) = 1750125300