What is the Least Common Multiple of 33518 and 33538?

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 33518 and 33538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33518 and 33538, than apply into the LCM equation.

GCF(33518,33538) = 2
LCM(33518,33538) = ( 33518 × 33538) / 2
LCM(33518,33538) = 1124126684 / 2
LCM(33518,33538) = 562063342

Least Common Multiple (LCM) of 33518 and 33538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33518 and 33538. First we will calculate the prime factors of 33518 and 33538.

Prime Factorization of 33518

Prime Factorization of 33538

Now multiplying the highest exponent prime factors to calculate the LCM of 33518 and 33538.

LCM(33518,33538) = 2¹ × 16759¹ × 41¹ × 409¹
LCM(33518,33538) = 562063342