What is the Least Common Multiple of 50523 and 50543?

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 50523 and 50543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50523 and 50543, than apply into the LCM equation.

GCF(50523,50543) = 1
LCM(50523,50543) = ( 50523 × 50543) / 1
LCM(50523,50543) = 2553583989 / 1
LCM(50523,50543) = 2553583989

Least Common Multiple (LCM) of 50523 and 50543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50523 and 50543. First we will calculate the prime factors of 50523 and 50543.

Prime Factorization of 50523

Prime Factorization of 50543

Now multiplying the highest exponent prime factors to calculate the LCM of 50523 and 50543.

LCM(50523,50543) = 3¹ × 11¹ × 1531¹ × 50543¹
LCM(50523,50543) = 2553583989