What is the Least Common Multiple of 13312 and 13320?

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 13312 and 13320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13312 and 13320, than apply into the LCM equation.

GCF(13312,13320) = 8
LCM(13312,13320) = ( 13312 × 13320) / 8
LCM(13312,13320) = 177315840 / 8
LCM(13312,13320) = 22164480

Least Common Multiple (LCM) of 13312 and 13320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13312 and 13320. First we will calculate the prime factors of 13312 and 13320.

Prime Factorization of 13312

Prime Factorization of 13320

Now multiplying the highest exponent prime factors to calculate the LCM of 13312 and 13320.

LCM(13312,13320) = 2¹⁰ × 13¹ × 3² × 5¹ × 37¹
LCM(13312,13320) = 22164480