What is the Least Common Multiple of 50184 and 50196?

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 50184 and 50196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50184 and 50196, than apply into the LCM equation.

GCF(50184,50196) = 12
LCM(50184,50196) = ( 50184 × 50196) / 12
LCM(50184,50196) = 2519036064 / 12
LCM(50184,50196) = 209919672

Least Common Multiple (LCM) of 50184 and 50196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50184 and 50196. First we will calculate the prime factors of 50184 and 50196.

Prime Factorization of 50184

Prime Factorization of 50196

Now multiplying the highest exponent prime factors to calculate the LCM of 50184 and 50196.

LCM(50184,50196) = 2³ × 3² × 17¹ × 41¹ × 47¹ × 89¹
LCM(50184,50196) = 209919672