What is the Least Common Multiple of 85505 and 85515?

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 85515 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 85515, than apply into the LCM equation.

GCF(85505,85515) = 5
LCM(85505,85515) = ( 85505 × 85515) / 5
LCM(85505,85515) = 7311960075 / 5
LCM(85505,85515) = 1462392015

Least Common Multiple (LCM) of 85505 and 85515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85505 and 85515. First we will calculate the prime factors of 85505 and 85515.

Prime Factorization of 85505

Prime Factorization of 85515

Now multiplying the highest exponent prime factors to calculate the LCM of 85505 and 85515.

LCM(85505,85515) = 5¹ × 7² × 349¹ × 3¹ × 5701¹
LCM(85505,85515) = 1462392015