What is the Least Common Multiple of 41200 and 41219?

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 41200 and 41219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41200 and 41219, than apply into the LCM equation.

GCF(41200,41219) = 1
LCM(41200,41219) = ( 41200 × 41219) / 1
LCM(41200,41219) = 1698222800 / 1
LCM(41200,41219) = 1698222800

Least Common Multiple (LCM) of 41200 and 41219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41200 and 41219. First we will calculate the prime factors of 41200 and 41219.

Prime Factorization of 41200

Prime Factorization of 41219

Now multiplying the highest exponent prime factors to calculate the LCM of 41200 and 41219.

LCM(41200,41219) = 2⁴ × 5² × 103¹ × 47¹ × 877¹
LCM(41200,41219) = 1698222800