What is the Least Common Multiple of 65824 and 65836?

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 65836 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 65836, than apply into the LCM equation.

GCF(65824,65836) = 4
LCM(65824,65836) = ( 65824 × 65836) / 4
LCM(65824,65836) = 4333588864 / 4
LCM(65824,65836) = 1083397216

Least Common Multiple (LCM) of 65824 and 65836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65824 and 65836. First we will calculate the prime factors of 65824 and 65836.

Prime Factorization of 65824

Prime Factorization of 65836

Now multiplying the highest exponent prime factors to calculate the LCM of 65824 and 65836.

LCM(65824,65836) = 2⁵ × 11² × 17¹ × 109¹ × 151¹
LCM(65824,65836) = 1083397216