What is the Least Common Multiple of 13320 and 13339?

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 13320 and 13339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13320 and 13339, than apply into the LCM equation.

GCF(13320,13339) = 1
LCM(13320,13339) = ( 13320 × 13339) / 1
LCM(13320,13339) = 177675480 / 1
LCM(13320,13339) = 177675480

Least Common Multiple (LCM) of 13320 and 13339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13320 and 13339. First we will calculate the prime factors of 13320 and 13339.

Prime Factorization of 13320

Prime Factorization of 13339

Now multiplying the highest exponent prime factors to calculate the LCM of 13320 and 13339.

LCM(13320,13339) = 2³ × 3² × 5¹ × 37¹ × 13339¹
LCM(13320,13339) = 177675480