What is the Least Common Multiple of 86547 and 86564?

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 86547 and 86564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86547 and 86564, than apply into the LCM equation.

GCF(86547,86564) = 17
LCM(86547,86564) = ( 86547 × 86564) / 17
LCM(86547,86564) = 7491854508 / 17
LCM(86547,86564) = 440697324

Least Common Multiple (LCM) of 86547 and 86564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86547 and 86564. First we will calculate the prime factors of 86547 and 86564.

Prime Factorization of 86547

Prime Factorization of 86564

Now multiplying the highest exponent prime factors to calculate the LCM of 86547 and 86564.

LCM(86547,86564) = 3¹ × 17¹ × 1697¹ × 2² × 19¹ × 67¹
LCM(86547,86564) = 440697324