What is the Least Common Multiple of 13296 and 13307?

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 13307 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 13307, than apply into the LCM equation.

GCF(13296,13307) = 1
LCM(13296,13307) = ( 13296 × 13307) / 1
LCM(13296,13307) = 176929872 / 1
LCM(13296,13307) = 176929872

Least Common Multiple (LCM) of 13296 and 13307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13296 and 13307. First we will calculate the prime factors of 13296 and 13307.

Prime Factorization of 13296

Prime Factorization of 13307

Now multiplying the highest exponent prime factors to calculate the LCM of 13296 and 13307.

LCM(13296,13307) = 2⁴ × 3¹ × 277¹ × 7¹ × 1901¹
LCM(13296,13307) = 176929872