What is the Least Common Multiple of 30284 and 30288?

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 30284 and 30288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30284 and 30288, than apply into the LCM equation.

GCF(30284,30288) = 4
LCM(30284,30288) = ( 30284 × 30288) / 4
LCM(30284,30288) = 917241792 / 4
LCM(30284,30288) = 229310448

Least Common Multiple (LCM) of 30284 and 30288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30284 and 30288. First we will calculate the prime factors of 30284 and 30288.

Prime Factorization of 30284

Prime Factorization of 30288

Now multiplying the highest exponent prime factors to calculate the LCM of 30284 and 30288.

LCM(30284,30288) = 2⁴ × 67¹ × 113¹ × 3¹ × 631¹
LCM(30284,30288) = 229310448