What is the Least Common Multiple of 85505 and 85510?

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 85505 and 85510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85505 and 85510, than apply into the LCM equation.

GCF(85505,85510) = 5
LCM(85505,85510) = ( 85505 × 85510) / 5
LCM(85505,85510) = 7311532550 / 5
LCM(85505,85510) = 1462306510

Least Common Multiple (LCM) of 85505 and 85510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85505 and 85510. First we will calculate the prime factors of 85505 and 85510.

Prime Factorization of 85505

Prime Factorization of 85510

Now multiplying the highest exponent prime factors to calculate the LCM of 85505 and 85510.

LCM(85505,85510) = 5¹ × 7² × 349¹ × 2¹ × 17¹ × 503¹
LCM(85505,85510) = 1462306510