What is the Least Common Multiple of 65568 and 65578?

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 65568 and 65578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65568 and 65578, than apply into the LCM equation.

GCF(65568,65578) = 2
LCM(65568,65578) = ( 65568 × 65578) / 2
LCM(65568,65578) = 4299818304 / 2
LCM(65568,65578) = 2149909152

Least Common Multiple (LCM) of 65568 and 65578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65568 and 65578. First we will calculate the prime factors of 65568 and 65578.

Prime Factorization of 65568

Prime Factorization of 65578

Now multiplying the highest exponent prime factors to calculate the LCM of 65568 and 65578.

LCM(65568,65578) = 2⁵ × 3¹ × 683¹ × 32789¹
LCM(65568,65578) = 2149909152