What is the Least Common Multiple of 89317 and 89332?

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 89317 and 89332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89317 and 89332, than apply into the LCM equation.

GCF(89317,89332) = 1
LCM(89317,89332) = ( 89317 × 89332) / 1
LCM(89317,89332) = 7978866244 / 1
LCM(89317,89332) = 7978866244

Least Common Multiple (LCM) of 89317 and 89332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89317 and 89332. First we will calculate the prime factors of 89317 and 89332.

Prime Factorization of 89317

Prime Factorization of 89332

Now multiplying the highest exponent prime factors to calculate the LCM of 89317 and 89332.

LCM(89317,89332) = 89317¹ × 2² × 23¹ × 971¹
LCM(89317,89332) = 7978866244