What is the Least Common Multiple of 13481 and 13498?

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 13481 and 13498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13481 and 13498, than apply into the LCM equation.

GCF(13481,13498) = 17
LCM(13481,13498) = ( 13481 × 13498) / 17
LCM(13481,13498) = 181966538 / 17
LCM(13481,13498) = 10703914

Least Common Multiple (LCM) of 13481 and 13498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13481 and 13498. First we will calculate the prime factors of 13481 and 13498.

Prime Factorization of 13481

Prime Factorization of 13498

Now multiplying the highest exponent prime factors to calculate the LCM of 13481 and 13498.

LCM(13481,13498) = 13¹ × 17¹ × 61¹ × 2¹ × 397¹
LCM(13481,13498) = 10703914