What is the Least Common Multiple of 13540 and 13559?

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 13540 and 13559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13540 and 13559, than apply into the LCM equation.

GCF(13540,13559) = 1
LCM(13540,13559) = ( 13540 × 13559) / 1
LCM(13540,13559) = 183588860 / 1
LCM(13540,13559) = 183588860

Least Common Multiple (LCM) of 13540 and 13559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13540 and 13559. First we will calculate the prime factors of 13540 and 13559.

Prime Factorization of 13540

Prime Factorization of 13559

Now multiplying the highest exponent prime factors to calculate the LCM of 13540 and 13559.

LCM(13540,13559) = 2² × 5¹ × 677¹ × 7¹ × 13¹ × 149¹
LCM(13540,13559) = 183588860