What is the Least Common Multiple of 21809 and 21824?

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 21809 and 21824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21809 and 21824, than apply into the LCM equation.

GCF(21809,21824) = 1
LCM(21809,21824) = ( 21809 × 21824) / 1
LCM(21809,21824) = 475959616 / 1
LCM(21809,21824) = 475959616

Least Common Multiple (LCM) of 21809 and 21824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21809 and 21824. First we will calculate the prime factors of 21809 and 21824.

Prime Factorization of 21809

Prime Factorization of 21824

Now multiplying the highest exponent prime factors to calculate the LCM of 21809 and 21824.

LCM(21809,21824) = 113¹ × 193¹ × 2⁶ × 11¹ × 31¹
LCM(21809,21824) = 475959616