What is the Least Common Multiple of 50554 and 50571?

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 50554 and 50571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50554 and 50571, than apply into the LCM equation.

GCF(50554,50571) = 1
LCM(50554,50571) = ( 50554 × 50571) / 1
LCM(50554,50571) = 2556566334 / 1
LCM(50554,50571) = 2556566334

Least Common Multiple (LCM) of 50554 and 50571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50554 and 50571. First we will calculate the prime factors of 50554 and 50571.

Prime Factorization of 50554

Prime Factorization of 50571

Now multiplying the highest exponent prime factors to calculate the LCM of 50554 and 50571.

LCM(50554,50571) = 2¹ × 7¹ × 23¹ × 157¹ × 3³ × 1873¹
LCM(50554,50571) = 2556566334