What is the Least Common Multiple of 50550 and 50569?

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 50550 and 50569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50550 and 50569, than apply into the LCM equation.

GCF(50550,50569) = 1
LCM(50550,50569) = ( 50550 × 50569) / 1
LCM(50550,50569) = 2556262950 / 1
LCM(50550,50569) = 2556262950

Least Common Multiple (LCM) of 50550 and 50569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50550 and 50569. First we will calculate the prime factors of 50550 and 50569.

Prime Factorization of 50550

Prime Factorization of 50569

Now multiplying the highest exponent prime factors to calculate the LCM of 50550 and 50569.

LCM(50550,50569) = 2¹ × 3¹ × 5² × 337¹ × 61¹ × 829¹
LCM(50550,50569) = 2556262950