What is the Least Common Multiple of 65808 and 65824?

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 65808 and 65824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65808 and 65824, than apply into the LCM equation.

GCF(65808,65824) = 16
LCM(65808,65824) = ( 65808 × 65824) / 16
LCM(65808,65824) = 4331745792 / 16
LCM(65808,65824) = 270734112

Least Common Multiple (LCM) of 65808 and 65824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65808 and 65824. First we will calculate the prime factors of 65808 and 65824.

Prime Factorization of 65808

Prime Factorization of 65824

Now multiplying the highest exponent prime factors to calculate the LCM of 65808 and 65824.

LCM(65808,65824) = 2⁵ × 3² × 457¹ × 11² × 17¹
LCM(65808,65824) = 270734112