What is the Least Common Multiple of 82641 and 82659?

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 82641 and 82659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82641 and 82659, than apply into the LCM equation.

GCF(82641,82659) = 3
LCM(82641,82659) = ( 82641 × 82659) / 3
LCM(82641,82659) = 6831022419 / 3
LCM(82641,82659) = 2277007473

Least Common Multiple (LCM) of 82641 and 82659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82641 and 82659. First we will calculate the prime factors of 82641 and 82659.

Prime Factorization of 82641

Prime Factorization of 82659

Now multiplying the highest exponent prime factors to calculate the LCM of 82641 and 82659.

LCM(82641,82659) = 3¹ × 13² × 163¹ × 59¹ × 467¹
LCM(82641,82659) = 2277007473