What is the Least Common Multiple of 50196 and 50203?

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 50196 and 50203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50196 and 50203, than apply into the LCM equation.

GCF(50196,50203) = 1
LCM(50196,50203) = ( 50196 × 50203) / 1
LCM(50196,50203) = 2519989788 / 1
LCM(50196,50203) = 2519989788

Least Common Multiple (LCM) of 50196 and 50203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50196 and 50203. First we will calculate the prime factors of 50196 and 50203.

Prime Factorization of 50196

Prime Factorization of 50203

Now multiplying the highest exponent prime factors to calculate the LCM of 50196 and 50203.

LCM(50196,50203) = 2² × 3¹ × 47¹ × 89¹ × 61¹ × 823¹
LCM(50196,50203) = 2519989788