What is the Least Common Multiple of 1328 and 1336?

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 1328 and 1336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1328 and 1336, than apply into the LCM equation.

GCF(1328,1336) = 8
LCM(1328,1336) = ( 1328 × 1336) / 8
LCM(1328,1336) = 1774208 / 8
LCM(1328,1336) = 221776

Least Common Multiple (LCM) of 1328 and 1336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1328 and 1336. First we will calculate the prime factors of 1328 and 1336.

Prime Factorization of 1328

Prime Factorization of 1336

Now multiplying the highest exponent prime factors to calculate the LCM of 1328 and 1336.

LCM(1328,1336) = 2⁴ × 83¹ × 167¹
LCM(1328,1336) = 221776