What is the Least Common Multiple of 30802 and 30818?

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 30802 and 30818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30802 and 30818, than apply into the LCM equation.

GCF(30802,30818) = 2
LCM(30802,30818) = ( 30802 × 30818) / 2
LCM(30802,30818) = 949256036 / 2
LCM(30802,30818) = 474628018

Least Common Multiple (LCM) of 30802 and 30818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30802 and 30818. First we will calculate the prime factors of 30802 and 30818.

Prime Factorization of 30802

Prime Factorization of 30818

Now multiplying the highest exponent prime factors to calculate the LCM of 30802 and 30818.

LCM(30802,30818) = 2¹ × 15401¹ × 19¹ × 811¹
LCM(30802,30818) = 474628018