What is the Least Common Multiple of 65769 and 65784?

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 65769 and 65784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65769 and 65784, than apply into the LCM equation.

GCF(65769,65784) = 3
LCM(65769,65784) = ( 65769 × 65784) / 3
LCM(65769,65784) = 4326547896 / 3
LCM(65769,65784) = 1442182632

Least Common Multiple (LCM) of 65769 and 65784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65769 and 65784. First we will calculate the prime factors of 65769 and 65784.

Prime Factorization of 65769

Prime Factorization of 65784

Now multiplying the highest exponent prime factors to calculate the LCM of 65769 and 65784.

LCM(65769,65784) = 3¹ × 11¹ × 1993¹ × 2³ × 2741¹
LCM(65769,65784) = 1442182632