What is the Least Common Multiple of 50049 and 50063?

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 50049 and 50063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50049 and 50063, than apply into the LCM equation.

GCF(50049,50063) = 1
LCM(50049,50063) = ( 50049 × 50063) / 1
LCM(50049,50063) = 2505603087 / 1
LCM(50049,50063) = 2505603087

Least Common Multiple (LCM) of 50049 and 50063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50049 and 50063. First we will calculate the prime factors of 50049 and 50063.

Prime Factorization of 50049

Prime Factorization of 50063

Now multiplying the highest exponent prime factors to calculate the LCM of 50049 and 50063.

LCM(50049,50063) = 3² × 67¹ × 83¹ × 13¹ × 3851¹
LCM(50049,50063) = 2505603087