What is the Least Common Multiple of 41184 and 41200?

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 41184 and 41200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41184 and 41200, than apply into the LCM equation.

GCF(41184,41200) = 16
LCM(41184,41200) = ( 41184 × 41200) / 16
LCM(41184,41200) = 1696780800 / 16
LCM(41184,41200) = 106048800

Least Common Multiple (LCM) of 41184 and 41200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41184 and 41200. First we will calculate the prime factors of 41184 and 41200.

Prime Factorization of 41184

Prime Factorization of 41200

Now multiplying the highest exponent prime factors to calculate the LCM of 41184 and 41200.

LCM(41184,41200) = 2⁵ × 3² × 11¹ × 13¹ × 5² × 103¹
LCM(41184,41200) = 106048800