What is the Least Common Multiple of 86500 and 86512?

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 86500 and 86512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86500 and 86512, than apply into the LCM equation.

GCF(86500,86512) = 4
LCM(86500,86512) = ( 86500 × 86512) / 4
LCM(86500,86512) = 7483288000 / 4
LCM(86500,86512) = 1870822000

Least Common Multiple (LCM) of 86500 and 86512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86500 and 86512. First we will calculate the prime factors of 86500 and 86512.

Prime Factorization of 86500

Prime Factorization of 86512

Now multiplying the highest exponent prime factors to calculate the LCM of 86500 and 86512.

LCM(86500,86512) = 2⁴ × 5³ × 173¹ × 5407¹
LCM(86500,86512) = 1870822000