What is the Least Common Multiple of 65733 and 65744?

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 65733 and 65744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65733 and 65744, than apply into the LCM equation.

GCF(65733,65744) = 1
LCM(65733,65744) = ( 65733 × 65744) / 1
LCM(65733,65744) = 4321550352 / 1
LCM(65733,65744) = 4321550352

Least Common Multiple (LCM) of 65733 and 65744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65733 and 65744. First we will calculate the prime factors of 65733 and 65744.

Prime Factorization of 65733

Prime Factorization of 65744

Now multiplying the highest exponent prime factors to calculate the LCM of 65733 and 65744.

LCM(65733,65744) = 3¹ × 21911¹ × 2⁴ × 7¹ × 587¹
LCM(65733,65744) = 4321550352