What is the Least Common Multiple of 41400 and 41415?

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 41400 and 41415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41400 and 41415, than apply into the LCM equation.

GCF(41400,41415) = 15
LCM(41400,41415) = ( 41400 × 41415) / 15
LCM(41400,41415) = 1714581000 / 15
LCM(41400,41415) = 114305400

Least Common Multiple (LCM) of 41400 and 41415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41400 and 41415. First we will calculate the prime factors of 41400 and 41415.

Prime Factorization of 41400

Prime Factorization of 41415

Now multiplying the highest exponent prime factors to calculate the LCM of 41400 and 41415.

LCM(41400,41415) = 2³ × 3² × 5² × 23¹ × 11¹ × 251¹
LCM(41400,41415) = 114305400