What is the Least Common Multiple of 41800 and 41808?

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 41800 and 41808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41800 and 41808, than apply into the LCM equation.

GCF(41800,41808) = 8
LCM(41800,41808) = ( 41800 × 41808) / 8
LCM(41800,41808) = 1747574400 / 8
LCM(41800,41808) = 218446800

Least Common Multiple (LCM) of 41800 and 41808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41800 and 41808. First we will calculate the prime factors of 41800 and 41808.

Prime Factorization of 41800

Prime Factorization of 41808

Now multiplying the highest exponent prime factors to calculate the LCM of 41800 and 41808.

LCM(41800,41808) = 2⁴ × 5² × 11¹ × 19¹ × 3¹ × 13¹ × 67¹
LCM(41800,41808) = 218446800