What is the Least Common Multiple of 21344 and 21351?

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 21344 and 21351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21344 and 21351, than apply into the LCM equation.

GCF(21344,21351) = 1
LCM(21344,21351) = ( 21344 × 21351) / 1
LCM(21344,21351) = 455715744 / 1
LCM(21344,21351) = 455715744

Least Common Multiple (LCM) of 21344 and 21351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21344 and 21351. First we will calculate the prime factors of 21344 and 21351.

Prime Factorization of 21344

Prime Factorization of 21351

Now multiplying the highest exponent prime factors to calculate the LCM of 21344 and 21351.

LCM(21344,21351) = 2⁵ × 23¹ × 29¹ × 3¹ × 11¹ × 647¹
LCM(21344,21351) = 455715744