What is the Least Common Multiple of 13290 and 13296?

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 13290 and 13296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13290 and 13296, than apply into the LCM equation.

GCF(13290,13296) = 6
LCM(13290,13296) = ( 13290 × 13296) / 6
LCM(13290,13296) = 176703840 / 6
LCM(13290,13296) = 29450640

Least Common Multiple (LCM) of 13290 and 13296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13290 and 13296. First we will calculate the prime factors of 13290 and 13296.

Prime Factorization of 13290

Prime Factorization of 13296

Now multiplying the highest exponent prime factors to calculate the LCM of 13290 and 13296.

LCM(13290,13296) = 2⁴ × 3¹ × 5¹ × 443¹ × 277¹
LCM(13290,13296) = 29450640