What is the Least Common Multiple of 86512 and 86532?

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 86512 and 86532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86512 and 86532, than apply into the LCM equation.

GCF(86512,86532) = 4
LCM(86512,86532) = ( 86512 × 86532) / 4
LCM(86512,86532) = 7486056384 / 4
LCM(86512,86532) = 1871514096

Least Common Multiple (LCM) of 86512 and 86532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86512 and 86532. First we will calculate the prime factors of 86512 and 86532.

Prime Factorization of 86512

Prime Factorization of 86532

Now multiplying the highest exponent prime factors to calculate the LCM of 86512 and 86532.

LCM(86512,86532) = 2⁴ × 5407¹ × 3¹ × 7211¹
LCM(86512,86532) = 1871514096