What is the Least Common Multiple of 13538 and 13553?

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 13538 and 13553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13538 and 13553, than apply into the LCM equation.

GCF(13538,13553) = 1
LCM(13538,13553) = ( 13538 × 13553) / 1
LCM(13538,13553) = 183480514 / 1
LCM(13538,13553) = 183480514

Least Common Multiple (LCM) of 13538 and 13553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13538 and 13553. First we will calculate the prime factors of 13538 and 13553.

Prime Factorization of 13538

Prime Factorization of 13553

Now multiplying the highest exponent prime factors to calculate the LCM of 13538 and 13553.

LCM(13538,13553) = 2¹ × 7¹ × 967¹ × 13553¹
LCM(13538,13553) = 183480514