What is the Least Common Multiple of 30820 and 30828?

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 30820 and 30828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30820 and 30828, than apply into the LCM equation.

GCF(30820,30828) = 4
LCM(30820,30828) = ( 30820 × 30828) / 4
LCM(30820,30828) = 950118960 / 4
LCM(30820,30828) = 237529740

Least Common Multiple (LCM) of 30820 and 30828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30820 and 30828. First we will calculate the prime factors of 30820 and 30828.

Prime Factorization of 30820

Prime Factorization of 30828

Now multiplying the highest exponent prime factors to calculate the LCM of 30820 and 30828.

LCM(30820,30828) = 2² × 5¹ × 23¹ × 67¹ × 3¹ × 7¹ × 367¹
LCM(30820,30828) = 237529740