What is the Least Common Multiple of 49538 and 49543?

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 49538 and 49543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49538 and 49543, than apply into the LCM equation.

GCF(49538,49543) = 1
LCM(49538,49543) = ( 49538 × 49543) / 1
LCM(49538,49543) = 2454261134 / 1
LCM(49538,49543) = 2454261134

Least Common Multiple (LCM) of 49538 and 49543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49538 and 49543. First we will calculate the prime factors of 49538 and 49543.

Prime Factorization of 49538

Prime Factorization of 49543

Now multiplying the highest exponent prime factors to calculate the LCM of 49538 and 49543.

LCM(49538,49543) = 2¹ × 17¹ × 31¹ × 47¹ × 13¹ × 37¹ × 103¹
LCM(49538,49543) = 2454261134