What is the Least Common Multiple of 65743 and 65749?

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 65743 and 65749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65743 and 65749, than apply into the LCM equation.

GCF(65743,65749) = 1
LCM(65743,65749) = ( 65743 × 65749) / 1
LCM(65743,65749) = 4322536507 / 1
LCM(65743,65749) = 4322536507

Least Common Multiple (LCM) of 65743 and 65749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65743 and 65749. First we will calculate the prime factors of 65743 and 65749.

Prime Factorization of 65743

Prime Factorization of 65749

Now multiplying the highest exponent prime factors to calculate the LCM of 65743 and 65749.

LCM(65743,65749) = 29¹ × 2267¹ × 37¹ × 1777¹
LCM(65743,65749) = 4322536507