What is the Least Common Multiple of 65745 and 65763?

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 65745 and 65763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65745 and 65763, than apply into the LCM equation.

GCF(65745,65763) = 9
LCM(65745,65763) = ( 65745 × 65763) / 9
LCM(65745,65763) = 4323588435 / 9
LCM(65745,65763) = 480398715

Least Common Multiple (LCM) of 65745 and 65763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65745 and 65763. First we will calculate the prime factors of 65745 and 65763.

Prime Factorization of 65745

Prime Factorization of 65763

Now multiplying the highest exponent prime factors to calculate the LCM of 65745 and 65763.

LCM(65745,65763) = 3³ × 5¹ × 487¹ × 7307¹
LCM(65745,65763) = 480398715