What is the Least Common Multiple of 65751 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 65751 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 65751 and 65763, than apply into the LCM equation.

GCF(65751,65763) = 3
LCM(65751,65763) = ( 65751 × 65763) / 3
LCM(65751,65763) = 4323983013 / 3
LCM(65751,65763) = 1441327671

Least Common Multiple (LCM) of 65751 and 65763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65751 and 65763. First we will calculate the prime factors of 65751 and 65763.

Prime Factorization of 65751

Prime Factorization of 65763

Now multiplying the highest exponent prime factors to calculate the LCM of 65751 and 65763.

LCM(65751,65763) = 3² × 7¹ × 31¹ × 101¹ × 7307¹
LCM(65751,65763) = 1441327671