What is the Least Common Multiple of 89001 and 89014?

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 89014 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 89014, than apply into the LCM equation.

GCF(89001,89014) = 1
LCM(89001,89014) = ( 89001 × 89014) / 1
LCM(89001,89014) = 7922335014 / 1
LCM(89001,89014) = 7922335014

Least Common Multiple (LCM) of 89001 and 89014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89001 and 89014. First we will calculate the prime factors of 89001 and 89014.

Prime Factorization of 89001

Prime Factorization of 89014

Now multiplying the highest exponent prime factors to calculate the LCM of 89001 and 89014.

LCM(89001,89014) = 3² × 11¹ × 29¹ × 31¹ × 2¹ × 44507¹
LCM(89001,89014) = 7922335014