What is the Least Common Multiple of 86985 and 87005?

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 86985 and 87005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86985 and 87005, than apply into the LCM equation.

GCF(86985,87005) = 5
LCM(86985,87005) = ( 86985 × 87005) / 5
LCM(86985,87005) = 7568129925 / 5
LCM(86985,87005) = 1513625985

Least Common Multiple (LCM) of 86985 and 87005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86985 and 87005. First we will calculate the prime factors of 86985 and 87005.

Prime Factorization of 86985

Prime Factorization of 87005

Now multiplying the highest exponent prime factors to calculate the LCM of 86985 and 87005.

LCM(86985,87005) = 3² × 5¹ × 1933¹ × 17401¹
LCM(86985,87005) = 1513625985