What is the Least Common Multiple of 86547 and 86553?

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 86553 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 86553, than apply into the LCM equation.

GCF(86547,86553) = 3
LCM(86547,86553) = ( 86547 × 86553) / 3
LCM(86547,86553) = 7490902491 / 3
LCM(86547,86553) = 2496967497

Least Common Multiple (LCM) of 86547 and 86553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86547 and 86553. First we will calculate the prime factors of 86547 and 86553.

Prime Factorization of 86547

Prime Factorization of 86553

Now multiplying the highest exponent prime factors to calculate the LCM of 86547 and 86553.

LCM(86547,86553) = 3² × 17¹ × 1697¹ × 59¹ × 163¹
LCM(86547,86553) = 2496967497