What is the Least Common Multiple of 87005 and 87012?

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 87005 and 87012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87005 and 87012, than apply into the LCM equation.

GCF(87005,87012) = 1
LCM(87005,87012) = ( 87005 × 87012) / 1
LCM(87005,87012) = 7570479060 / 1
LCM(87005,87012) = 7570479060

Least Common Multiple (LCM) of 87005 and 87012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87005 and 87012. First we will calculate the prime factors of 87005 and 87012.

Prime Factorization of 87005

Prime Factorization of 87012

Now multiplying the highest exponent prime factors to calculate the LCM of 87005 and 87012.

LCM(87005,87012) = 5¹ × 17401¹ × 2² × 3² × 2417¹
LCM(87005,87012) = 7570479060