What is the Least Common Multiple of 21824 and 21844?

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 21824 and 21844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21824 and 21844, than apply into the LCM equation.

GCF(21824,21844) = 4
LCM(21824,21844) = ( 21824 × 21844) / 4
LCM(21824,21844) = 476723456 / 4
LCM(21824,21844) = 119180864

Least Common Multiple (LCM) of 21824 and 21844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21824 and 21844. First we will calculate the prime factors of 21824 and 21844.

Prime Factorization of 21824

Prime Factorization of 21844

Now multiplying the highest exponent prime factors to calculate the LCM of 21824 and 21844.

LCM(21824,21844) = 2⁶ × 11¹ × 31¹ × 43¹ × 127¹
LCM(21824,21844) = 119180864