What is the Least Common Multiple of 87009 and 87017?

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 87009 and 87017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87009 and 87017, than apply into the LCM equation.

GCF(87009,87017) = 1
LCM(87009,87017) = ( 87009 × 87017) / 1
LCM(87009,87017) = 7571262153 / 1
LCM(87009,87017) = 7571262153

Least Common Multiple (LCM) of 87009 and 87017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87009 and 87017. First we will calculate the prime factors of 87009 and 87017.

Prime Factorization of 87009

Prime Factorization of 87017

Now multiplying the highest exponent prime factors to calculate the LCM of 87009 and 87017.

LCM(87009,87017) = 3¹ × 13¹ × 23¹ × 97¹ × 7¹ × 31¹ × 401¹
LCM(87009,87017) = 7571262153