What is the Least Common Multiple of 41808 and 41824?

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 41808 and 41824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41808 and 41824, than apply into the LCM equation.

GCF(41808,41824) = 16
LCM(41808,41824) = ( 41808 × 41824) / 16
LCM(41808,41824) = 1748577792 / 16
LCM(41808,41824) = 109286112

Least Common Multiple (LCM) of 41808 and 41824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41808 and 41824. First we will calculate the prime factors of 41808 and 41824.

Prime Factorization of 41808

Prime Factorization of 41824

Now multiplying the highest exponent prime factors to calculate the LCM of 41808 and 41824.

LCM(41808,41824) = 2⁵ × 3¹ × 13¹ × 67¹ × 1307¹
LCM(41808,41824) = 109286112