What is the Least Common Multiple of 13560 and 13565?

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 13560 and 13565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13560 and 13565, than apply into the LCM equation.

GCF(13560,13565) = 5
LCM(13560,13565) = ( 13560 × 13565) / 5
LCM(13560,13565) = 183941400 / 5
LCM(13560,13565) = 36788280

Least Common Multiple (LCM) of 13560 and 13565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13560 and 13565. First we will calculate the prime factors of 13560 and 13565.

Prime Factorization of 13560

Prime Factorization of 13565

Now multiplying the highest exponent prime factors to calculate the LCM of 13560 and 13565.

LCM(13560,13565) = 2³ × 3¹ × 5¹ × 113¹ × 2713¹
LCM(13560,13565) = 36788280