What is the Least Common Multiple of 82508 and 82514?

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 82508 and 82514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82508 and 82514, than apply into the LCM equation.

GCF(82508,82514) = 2
LCM(82508,82514) = ( 82508 × 82514) / 2
LCM(82508,82514) = 6808065112 / 2
LCM(82508,82514) = 3404032556

Least Common Multiple (LCM) of 82508 and 82514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82508 and 82514. First we will calculate the prime factors of 82508 and 82514.

Prime Factorization of 82508

Prime Factorization of 82514

Now multiplying the highest exponent prime factors to calculate the LCM of 82508 and 82514.

LCM(82508,82514) = 2² × 20627¹ × 41257¹
LCM(82508,82514) = 3404032556