What is the Least Common Multiple of 13408 and 13421?

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 13408 and 13421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13408 and 13421, than apply into the LCM equation.

GCF(13408,13421) = 1
LCM(13408,13421) = ( 13408 × 13421) / 1
LCM(13408,13421) = 179948768 / 1
LCM(13408,13421) = 179948768

Least Common Multiple (LCM) of 13408 and 13421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13408 and 13421. First we will calculate the prime factors of 13408 and 13421.

Prime Factorization of 13408

Prime Factorization of 13421

Now multiplying the highest exponent prime factors to calculate the LCM of 13408 and 13421.

LCM(13408,13421) = 2⁵ × 419¹ × 13421¹
LCM(13408,13421) = 179948768