What is the Least Common Multiple of 50204 and 50222?

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 50204 and 50222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50204 and 50222, than apply into the LCM equation.

GCF(50204,50222) = 2
LCM(50204,50222) = ( 50204 × 50222) / 2
LCM(50204,50222) = 2521345288 / 2
LCM(50204,50222) = 1260672644

Least Common Multiple (LCM) of 50204 and 50222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50204 and 50222. First we will calculate the prime factors of 50204 and 50222.

Prime Factorization of 50204

Prime Factorization of 50222

Now multiplying the highest exponent prime factors to calculate the LCM of 50204 and 50222.

LCM(50204,50222) = 2² × 7¹ × 11¹ × 163¹ × 25111¹
LCM(50204,50222) = 1260672644