What is the Least Common Multiple of 20256 and 20267?

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 20256 and 20267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20256 and 20267, than apply into the LCM equation.

GCF(20256,20267) = 1
LCM(20256,20267) = ( 20256 × 20267) / 1
LCM(20256,20267) = 410528352 / 1
LCM(20256,20267) = 410528352

Least Common Multiple (LCM) of 20256 and 20267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20256 and 20267. First we will calculate the prime factors of 20256 and 20267.

Prime Factorization of 20256

Prime Factorization of 20267

Now multiplying the highest exponent prime factors to calculate the LCM of 20256 and 20267.

LCM(20256,20267) = 2⁵ × 3¹ × 211¹ × 13¹ × 1559¹
LCM(20256,20267) = 410528352