What is the Least Common Multiple of 65821 and 65834?

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 65821 and 65834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65821 and 65834, than apply into the LCM equation.

GCF(65821,65834) = 1
LCM(65821,65834) = ( 65821 × 65834) / 1
LCM(65821,65834) = 4333259714 / 1
LCM(65821,65834) = 4333259714

Least Common Multiple (LCM) of 65821 and 65834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65821 and 65834. First we will calculate the prime factors of 65821 and 65834.

Prime Factorization of 65821

Prime Factorization of 65834

Now multiplying the highest exponent prime factors to calculate the LCM of 65821 and 65834.

LCM(65821,65834) = 7¹ × 9403¹ × 2¹ × 32917¹
LCM(65821,65834) = 4333259714