What is the Least Common Multiple of 13328 and 13342?

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 13328 and 13342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13328 and 13342, than apply into the LCM equation.

GCF(13328,13342) = 14
LCM(13328,13342) = ( 13328 × 13342) / 14
LCM(13328,13342) = 177822176 / 14
LCM(13328,13342) = 12701584

Least Common Multiple (LCM) of 13328 and 13342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13328 and 13342. First we will calculate the prime factors of 13328 and 13342.

Prime Factorization of 13328

Prime Factorization of 13342

Now multiplying the highest exponent prime factors to calculate the LCM of 13328 and 13342.

LCM(13328,13342) = 2⁴ × 7² × 17¹ × 953¹
LCM(13328,13342) = 12701584