What is the Least Common Multiple of 65776 and 65782?

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 65776 and 65782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65776 and 65782, than apply into the LCM equation.

GCF(65776,65782) = 2
LCM(65776,65782) = ( 65776 × 65782) / 2
LCM(65776,65782) = 4326876832 / 2
LCM(65776,65782) = 2163438416

Least Common Multiple (LCM) of 65776 and 65782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65776 and 65782. First we will calculate the prime factors of 65776 and 65782.

Prime Factorization of 65776

Prime Factorization of 65782

Now multiplying the highest exponent prime factors to calculate the LCM of 65776 and 65782.

LCM(65776,65782) = 2⁴ × 4111¹ × 31¹ × 1061¹
LCM(65776,65782) = 2163438416