What is the Least Common Multiple of 49543 and 49563?

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 49543 and 49563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49543 and 49563, than apply into the LCM equation.

GCF(49543,49563) = 1
LCM(49543,49563) = ( 49543 × 49563) / 1
LCM(49543,49563) = 2455499709 / 1
LCM(49543,49563) = 2455499709

Least Common Multiple (LCM) of 49543 and 49563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49543 and 49563. First we will calculate the prime factors of 49543 and 49563.

Prime Factorization of 49543

Prime Factorization of 49563

Now multiplying the highest exponent prime factors to calculate the LCM of 49543 and 49563.

LCM(49543,49563) = 13¹ × 37¹ × 103¹ × 3² × 5507¹
LCM(49543,49563) = 2455499709