What is the Least Common Multiple of 86502 and 86517?

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 86502 and 86517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86502 and 86517, than apply into the LCM equation.

GCF(86502,86517) = 3
LCM(86502,86517) = ( 86502 × 86517) / 3
LCM(86502,86517) = 7483893534 / 3
LCM(86502,86517) = 2494631178

Least Common Multiple (LCM) of 86502 and 86517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86502 and 86517. First we will calculate the prime factors of 86502 and 86517.

Prime Factorization of 86502

Prime Factorization of 86517

Now multiplying the highest exponent prime factors to calculate the LCM of 86502 and 86517.

LCM(86502,86517) = 2¹ × 3² × 13¹ × 1109¹ × 9613¹
LCM(86502,86517) = 2494631178