What is the Least Common Multiple of 87013 and 87032?

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 87013 and 87032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87013 and 87032, than apply into the LCM equation.

GCF(87013,87032) = 1
LCM(87013,87032) = ( 87013 × 87032) / 1
LCM(87013,87032) = 7572915416 / 1
LCM(87013,87032) = 7572915416

Least Common Multiple (LCM) of 87013 and 87032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87013 and 87032. First we will calculate the prime factors of 87013 and 87032.

Prime Factorization of 87013

Prime Factorization of 87032

Now multiplying the highest exponent prime factors to calculate the LCM of 87013 and 87032.

LCM(87013,87032) = 87013¹ × 2³ × 11¹ × 23¹ × 43¹
LCM(87013,87032) = 7572915416