What is the Least Common Multiple of 86535 and 86543?

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 86535 and 86543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86535 and 86543, than apply into the LCM equation.

GCF(86535,86543) = 1
LCM(86535,86543) = ( 86535 × 86543) / 1
LCM(86535,86543) = 7488998505 / 1
LCM(86535,86543) = 7488998505

Least Common Multiple (LCM) of 86535 and 86543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86535 and 86543. First we will calculate the prime factors of 86535 and 86543.

Prime Factorization of 86535

Prime Factorization of 86543

Now multiplying the highest exponent prime factors to calculate the LCM of 86535 and 86543.

LCM(86535,86543) = 3³ × 5¹ × 641¹ × 37¹ × 2339¹
LCM(86535,86543) = 7488998505