What is the Least Common Multiple of 13296 and 13305?

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 13296 and 13305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13296 and 13305, than apply into the LCM equation.

GCF(13296,13305) = 3
LCM(13296,13305) = ( 13296 × 13305) / 3
LCM(13296,13305) = 176903280 / 3
LCM(13296,13305) = 58967760

Least Common Multiple (LCM) of 13296 and 13305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13296 and 13305. First we will calculate the prime factors of 13296 and 13305.

Prime Factorization of 13296

Prime Factorization of 13305

Now multiplying the highest exponent prime factors to calculate the LCM of 13296 and 13305.

LCM(13296,13305) = 2⁴ × 3¹ × 277¹ × 5¹ × 887¹
LCM(13296,13305) = 58967760