What is the Least Common Multiple of 21424 and 21441?

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 21424 and 21441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21424 and 21441, than apply into the LCM equation.

GCF(21424,21441) = 1
LCM(21424,21441) = ( 21424 × 21441) / 1
LCM(21424,21441) = 459351984 / 1
LCM(21424,21441) = 459351984

Least Common Multiple (LCM) of 21424 and 21441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21424 and 21441. First we will calculate the prime factors of 21424 and 21441.

Prime Factorization of 21424

Prime Factorization of 21441

Now multiplying the highest exponent prime factors to calculate the LCM of 21424 and 21441.

LCM(21424,21441) = 2⁴ × 13¹ × 103¹ × 3¹ × 7¹ × 1021¹
LCM(21424,21441) = 459351984