What is the Least Common Multiple of 65776 and 65791?

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 65791 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 65791, than apply into the LCM equation.

GCF(65776,65791) = 1
LCM(65776,65791) = ( 65776 × 65791) / 1
LCM(65776,65791) = 4327468816 / 1
LCM(65776,65791) = 4327468816

Least Common Multiple (LCM) of 65776 and 65791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65776 and 65791. First we will calculate the prime factors of 65776 and 65791.

Prime Factorization of 65776

Prime Factorization of 65791

Now multiplying the highest exponent prime factors to calculate the LCM of 65776 and 65791.

LCM(65776,65791) = 2⁴ × 4111¹ × 11¹ × 5981¹
LCM(65776,65791) = 4327468816