What is the Least Common Multiple of 21280 and 21296?

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 21280 and 21296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21280 and 21296, than apply into the LCM equation.

GCF(21280,21296) = 16
LCM(21280,21296) = ( 21280 × 21296) / 16
LCM(21280,21296) = 453178880 / 16
LCM(21280,21296) = 28323680

Least Common Multiple (LCM) of 21280 and 21296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21280 and 21296. First we will calculate the prime factors of 21280 and 21296.

Prime Factorization of 21280

Prime Factorization of 21296

Now multiplying the highest exponent prime factors to calculate the LCM of 21280 and 21296.

LCM(21280,21296) = 2⁵ × 5¹ × 7¹ × 19¹ × 11³
LCM(21280,21296) = 28323680