What is the Least Common Multiple of 87017 and 87036?

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 87017 and 87036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87017 and 87036, than apply into the LCM equation.

GCF(87017,87036) = 1
LCM(87017,87036) = ( 87017 × 87036) / 1
LCM(87017,87036) = 7573611612 / 1
LCM(87017,87036) = 7573611612

Least Common Multiple (LCM) of 87017 and 87036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87017 and 87036. First we will calculate the prime factors of 87017 and 87036.

Prime Factorization of 87017

Prime Factorization of 87036

Now multiplying the highest exponent prime factors to calculate the LCM of 87017 and 87036.

LCM(87017,87036) = 7¹ × 31¹ × 401¹ × 2² × 3¹ × 7253¹
LCM(87017,87036) = 7573611612