What is the Least Common Multiple of 65736 and 65743?

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 65736 and 65743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65736 and 65743, than apply into the LCM equation.

GCF(65736,65743) = 1
LCM(65736,65743) = ( 65736 × 65743) / 1
LCM(65736,65743) = 4321681848 / 1
LCM(65736,65743) = 4321681848

Least Common Multiple (LCM) of 65736 and 65743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65736 and 65743. First we will calculate the prime factors of 65736 and 65743.

Prime Factorization of 65736

Prime Factorization of 65743

Now multiplying the highest exponent prime factors to calculate the LCM of 65736 and 65743.

LCM(65736,65743) = 2³ × 3² × 11¹ × 83¹ × 29¹ × 2267¹
LCM(65736,65743) = 4321681848