What is the Least Common Multiple of 21280 and 21292?

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 21292 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 21292, than apply into the LCM equation.

GCF(21280,21292) = 4
LCM(21280,21292) = ( 21280 × 21292) / 4
LCM(21280,21292) = 453093760 / 4
LCM(21280,21292) = 113273440

Least Common Multiple (LCM) of 21280 and 21292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21280 and 21292. First we will calculate the prime factors of 21280 and 21292.

Prime Factorization of 21280

Prime Factorization of 21292

Now multiplying the highest exponent prime factors to calculate the LCM of 21280 and 21292.

LCM(21280,21292) = 2⁵ × 5¹ × 7¹ × 19¹ × 5323¹
LCM(21280,21292) = 113273440