What is the Least Common Multiple of 50219 and 50236?

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 50219 and 50236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50219 and 50236, than apply into the LCM equation.

GCF(50219,50236) = 1
LCM(50219,50236) = ( 50219 × 50236) / 1
LCM(50219,50236) = 2522801684 / 1
LCM(50219,50236) = 2522801684

Least Common Multiple (LCM) of 50219 and 50236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50219 and 50236. First we will calculate the prime factors of 50219 and 50236.

Prime Factorization of 50219

Prime Factorization of 50236

Now multiplying the highest exponent prime factors to calculate the LCM of 50219 and 50236.

LCM(50219,50236) = 13¹ × 3863¹ × 2² × 19¹ × 661¹
LCM(50219,50236) = 2522801684