What is the Least Common Multiple of 21440 and 21459?

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 21440 and 21459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21440 and 21459, than apply into the LCM equation.

GCF(21440,21459) = 1
LCM(21440,21459) = ( 21440 × 21459) / 1
LCM(21440,21459) = 460080960 / 1
LCM(21440,21459) = 460080960

Least Common Multiple (LCM) of 21440 and 21459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21440 and 21459. First we will calculate the prime factors of 21440 and 21459.

Prime Factorization of 21440

Prime Factorization of 21459

Now multiplying the highest exponent prime factors to calculate the LCM of 21440 and 21459.

LCM(21440,21459) = 2⁶ × 5¹ × 67¹ × 3¹ × 23¹ × 311¹
LCM(21440,21459) = 460080960