What is the Least Common Multiple of 89014 and 89032?

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 89014 and 89032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89014 and 89032, than apply into the LCM equation.

GCF(89014,89032) = 2
LCM(89014,89032) = ( 89014 × 89032) / 2
LCM(89014,89032) = 7925094448 / 2
LCM(89014,89032) = 3962547224

Least Common Multiple (LCM) of 89014 and 89032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89014 and 89032. First we will calculate the prime factors of 89014 and 89032.

Prime Factorization of 89014

Prime Factorization of 89032

Now multiplying the highest exponent prime factors to calculate the LCM of 89014 and 89032.

LCM(89014,89032) = 2³ × 44507¹ × 31¹ × 359¹
LCM(89014,89032) = 3962547224