What is the Least Common Multiple of 41204 and 41210?

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 41204 and 41210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41204 and 41210, than apply into the LCM equation.

GCF(41204,41210) = 2
LCM(41204,41210) = ( 41204 × 41210) / 2
LCM(41204,41210) = 1698016840 / 2
LCM(41204,41210) = 849008420

Least Common Multiple (LCM) of 41204 and 41210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41204 and 41210. First we will calculate the prime factors of 41204 and 41210.

Prime Factorization of 41204

Prime Factorization of 41210

Now multiplying the highest exponent prime factors to calculate the LCM of 41204 and 41210.

LCM(41204,41210) = 2² × 10301¹ × 5¹ × 13¹ × 317¹
LCM(41204,41210) = 849008420