What is the Least Common Multiple of 41400 and 41408?

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 41408 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 41408, than apply into the LCM equation.

GCF(41400,41408) = 8
LCM(41400,41408) = ( 41400 × 41408) / 8
LCM(41400,41408) = 1714291200 / 8
LCM(41400,41408) = 214286400

Least Common Multiple (LCM) of 41400 and 41408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41400 and 41408. First we will calculate the prime factors of 41400 and 41408.

Prime Factorization of 41400

Prime Factorization of 41408

Now multiplying the highest exponent prime factors to calculate the LCM of 41400 and 41408.

LCM(41400,41408) = 2⁶ × 3² × 5² × 23¹ × 647¹
LCM(41400,41408) = 214286400