What is the Least Common Multiple of 41600 and 41605?

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 41600 and 41605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41600 and 41605, than apply into the LCM equation.

GCF(41600,41605) = 5
LCM(41600,41605) = ( 41600 × 41605) / 5
LCM(41600,41605) = 1730768000 / 5
LCM(41600,41605) = 346153600

Least Common Multiple (LCM) of 41600 and 41605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41600 and 41605. First we will calculate the prime factors of 41600 and 41605.

Prime Factorization of 41600

Prime Factorization of 41605

Now multiplying the highest exponent prime factors to calculate the LCM of 41600 and 41605.

LCM(41600,41605) = 2⁷ × 5² × 13¹ × 53¹ × 157¹
LCM(41600,41605) = 346153600