What is the Least Common Multiple of 13548 and 13563?

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 13548 and 13563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13548 and 13563, than apply into the LCM equation.

GCF(13548,13563) = 3
LCM(13548,13563) = ( 13548 × 13563) / 3
LCM(13548,13563) = 183751524 / 3
LCM(13548,13563) = 61250508

Least Common Multiple (LCM) of 13548 and 13563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13548 and 13563. First we will calculate the prime factors of 13548 and 13563.

Prime Factorization of 13548

Prime Factorization of 13563

Now multiplying the highest exponent prime factors to calculate the LCM of 13548 and 13563.

LCM(13548,13563) = 2² × 3² × 1129¹ × 11¹ × 137¹
LCM(13548,13563) = 61250508