What is the Least Common Multiple of 21328 and 21346?

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 21328 and 21346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21328 and 21346, than apply into the LCM equation.

GCF(21328,21346) = 2
LCM(21328,21346) = ( 21328 × 21346) / 2
LCM(21328,21346) = 455267488 / 2
LCM(21328,21346) = 227633744

Least Common Multiple (LCM) of 21328 and 21346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21328 and 21346. First we will calculate the prime factors of 21328 and 21346.

Prime Factorization of 21328

Prime Factorization of 21346

Now multiplying the highest exponent prime factors to calculate the LCM of 21328 and 21346.

LCM(21328,21346) = 2⁴ × 31¹ × 43¹ × 13¹ × 821¹
LCM(21328,21346) = 227633744