What is the Least Common Multiple of 21324 and 21344?

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 21324 and 21344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21324 and 21344, than apply into the LCM equation.

GCF(21324,21344) = 4
LCM(21324,21344) = ( 21324 × 21344) / 4
LCM(21324,21344) = 455139456 / 4
LCM(21324,21344) = 113784864

Least Common Multiple (LCM) of 21324 and 21344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21324 and 21344. First we will calculate the prime factors of 21324 and 21344.

Prime Factorization of 21324

Prime Factorization of 21344

Now multiplying the highest exponent prime factors to calculate the LCM of 21324 and 21344.

LCM(21324,21344) = 2⁵ × 3¹ × 1777¹ × 23¹ × 29¹
LCM(21324,21344) = 113784864