What is the Least Common Multiple of 65824 and 65840?

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 65824 and 65840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65824 and 65840, than apply into the LCM equation.

GCF(65824,65840) = 16
LCM(65824,65840) = ( 65824 × 65840) / 16
LCM(65824,65840) = 4333852160 / 16
LCM(65824,65840) = 270865760

Least Common Multiple (LCM) of 65824 and 65840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65824 and 65840. First we will calculate the prime factors of 65824 and 65840.

Prime Factorization of 65824

Prime Factorization of 65840

Now multiplying the highest exponent prime factors to calculate the LCM of 65824 and 65840.

LCM(65824,65840) = 2⁵ × 11² × 17¹ × 5¹ × 823¹
LCM(65824,65840) = 270865760