What is the Least Common Multiple of 41880 and 41887?

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 41887 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 41887, than apply into the LCM equation.

GCF(41880,41887) = 1
LCM(41880,41887) = ( 41880 × 41887) / 1
LCM(41880,41887) = 1754227560 / 1
LCM(41880,41887) = 1754227560

Least Common Multiple (LCM) of 41880 and 41887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41880 and 41887. First we will calculate the prime factors of 41880 and 41887.

Prime Factorization of 41880

Prime Factorization of 41887

Now multiplying the highest exponent prime factors to calculate the LCM of 41880 and 41887.

LCM(41880,41887) = 2³ × 3¹ × 5¹ × 349¹ × 41887¹
LCM(41880,41887) = 1754227560