What is the Least Common Multiple of 41925 and 41945?

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 41945 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 41945, than apply into the LCM equation.

GCF(41925,41945) = 5
LCM(41925,41945) = ( 41925 × 41945) / 5
LCM(41925,41945) = 1758544125 / 5
LCM(41925,41945) = 351708825

Least Common Multiple (LCM) of 41925 and 41945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41925 and 41945. First we will calculate the prime factors of 41925 and 41945.

Prime Factorization of 41925

Prime Factorization of 41945

Now multiplying the highest exponent prime factors to calculate the LCM of 41925 and 41945.

LCM(41925,41945) = 3¹ × 5² × 13¹ × 43¹ × 8389¹
LCM(41925,41945) = 351708825