What is the Least Common Multiple of 13540 and 13560?

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 13560 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 13560, than apply into the LCM equation.

GCF(13540,13560) = 20
LCM(13540,13560) = ( 13540 × 13560) / 20
LCM(13540,13560) = 183602400 / 20
LCM(13540,13560) = 9180120

Least Common Multiple (LCM) of 13540 and 13560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13540 and 13560. First we will calculate the prime factors of 13540 and 13560.

Prime Factorization of 13540

Prime Factorization of 13560

Now multiplying the highest exponent prime factors to calculate the LCM of 13540 and 13560.

LCM(13540,13560) = 2³ × 5¹ × 677¹ × 3¹ × 113¹
LCM(13540,13560) = 9180120