What is the Least Common Multiple of 41925 and 41937?

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 41925 and 41937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41925 and 41937, than apply into the LCM equation.

GCF(41925,41937) = 3
LCM(41925,41937) = ( 41925 × 41937) / 3
LCM(41925,41937) = 1758208725 / 3
LCM(41925,41937) = 586069575

Least Common Multiple (LCM) of 41925 and 41937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41925 and 41937. First we will calculate the prime factors of 41925 and 41937.

Prime Factorization of 41925

Prime Factorization of 41937

Now multiplying the highest exponent prime factors to calculate the LCM of 41925 and 41937.

LCM(41925,41937) = 3¹ × 5² × 13¹ × 43¹ × 7¹ × 1997¹
LCM(41925,41937) = 586069575