What is the Least Common Multiple of 86529 and 86549?

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 86529 and 86549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86529 and 86549, than apply into the LCM equation.

GCF(86529,86549) = 1
LCM(86529,86549) = ( 86529 × 86549) / 1
LCM(86529,86549) = 7488998421 / 1
LCM(86529,86549) = 7488998421

Least Common Multiple (LCM) of 86529 and 86549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86529 and 86549. First we will calculate the prime factors of 86529 and 86549.

Prime Factorization of 86529

Prime Factorization of 86549

Now multiplying the highest exponent prime factors to calculate the LCM of 86529 and 86549.

LCM(86529,86549) = 3¹ × 28843¹ × 23¹ × 53¹ × 71¹
LCM(86529,86549) = 7488998421