What is the Least Common Multiple of 41875 and 41880?

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 41875 and 41880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41875 and 41880, than apply into the LCM equation.

GCF(41875,41880) = 5
LCM(41875,41880) = ( 41875 × 41880) / 5
LCM(41875,41880) = 1753725000 / 5
LCM(41875,41880) = 350745000

Least Common Multiple (LCM) of 41875 and 41880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41875 and 41880. First we will calculate the prime factors of 41875 and 41880.

Prime Factorization of 41875

Prime Factorization of 41880

Now multiplying the highest exponent prime factors to calculate the LCM of 41875 and 41880.

LCM(41875,41880) = 5⁴ × 67¹ × 2³ × 3¹ × 349¹
LCM(41875,41880) = 350745000