What is the Least Common Multiple of 86540 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 86540 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 86540 and 86549, than apply into the LCM equation.

GCF(86540,86549) = 1
LCM(86540,86549) = ( 86540 × 86549) / 1
LCM(86540,86549) = 7489950460 / 1
LCM(86540,86549) = 7489950460

Least Common Multiple (LCM) of 86540 and 86549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86540 and 86549. First we will calculate the prime factors of 86540 and 86549.

Prime Factorization of 86540

Prime Factorization of 86549

Now multiplying the highest exponent prime factors to calculate the LCM of 86540 and 86549.

LCM(86540,86549) = 2² × 5¹ × 4327¹ × 23¹ × 53¹ × 71¹
LCM(86540,86549) = 7489950460