What is the Least Common Multiple of 50738 and 50743?

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 50738 and 50743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50738 and 50743, than apply into the LCM equation.

GCF(50738,50743) = 1
LCM(50738,50743) = ( 50738 × 50743) / 1
LCM(50738,50743) = 2574598334 / 1
LCM(50738,50743) = 2574598334

Least Common Multiple (LCM) of 50738 and 50743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50738 and 50743. First we will calculate the prime factors of 50738 and 50743.

Prime Factorization of 50738

Prime Factorization of 50743

Now multiplying the highest exponent prime factors to calculate the LCM of 50738 and 50743.

LCM(50738,50743) = 2¹ × 23¹ × 1103¹ × 7¹ × 11¹ × 659¹
LCM(50738,50743) = 2574598334