What is the Least Common Multiple of 41880 and 41898?

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 41880 and 41898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41880 and 41898, than apply into the LCM equation.

GCF(41880,41898) = 6
LCM(41880,41898) = ( 41880 × 41898) / 6
LCM(41880,41898) = 1754688240 / 6
LCM(41880,41898) = 292448040

Least Common Multiple (LCM) of 41880 and 41898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41880 and 41898. First we will calculate the prime factors of 41880 and 41898.

Prime Factorization of 41880

Prime Factorization of 41898

Now multiplying the highest exponent prime factors to calculate the LCM of 41880 and 41898.

LCM(41880,41898) = 2³ × 3¹ × 5¹ × 349¹ × 6983¹
LCM(41880,41898) = 292448040