What is the Least Common Multiple of 50032 and 50049?

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 50032 and 50049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50032 and 50049, than apply into the LCM equation.

GCF(50032,50049) = 1
LCM(50032,50049) = ( 50032 × 50049) / 1
LCM(50032,50049) = 2504051568 / 1
LCM(50032,50049) = 2504051568

Least Common Multiple (LCM) of 50032 and 50049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50032 and 50049. First we will calculate the prime factors of 50032 and 50049.

Prime Factorization of 50032

Prime Factorization of 50049

Now multiplying the highest exponent prime factors to calculate the LCM of 50032 and 50049.

LCM(50032,50049) = 2⁴ × 53¹ × 59¹ × 3² × 67¹ × 83¹
LCM(50032,50049) = 2504051568