What is the Least Common Multiple of 89001 and 89005?

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 89001 and 89005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89001 and 89005, than apply into the LCM equation.

GCF(89001,89005) = 1
LCM(89001,89005) = ( 89001 × 89005) / 1
LCM(89001,89005) = 7921534005 / 1
LCM(89001,89005) = 7921534005

Least Common Multiple (LCM) of 89001 and 89005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89001 and 89005. First we will calculate the prime factors of 89001 and 89005.

Prime Factorization of 89001

Prime Factorization of 89005

Now multiplying the highest exponent prime factors to calculate the LCM of 89001 and 89005.

LCM(89001,89005) = 3² × 11¹ × 29¹ × 31¹ × 5¹ × 7¹ × 2543¹
LCM(89001,89005) = 7921534005