What is the Least Common Multiple of 30828 and 30843?

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 30828 and 30843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30828 and 30843, than apply into the LCM equation.

GCF(30828,30843) = 3
LCM(30828,30843) = ( 30828 × 30843) / 3
LCM(30828,30843) = 950828004 / 3
LCM(30828,30843) = 316942668

Least Common Multiple (LCM) of 30828 and 30843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30828 and 30843. First we will calculate the prime factors of 30828 and 30843.

Prime Factorization of 30828

Prime Factorization of 30843

Now multiplying the highest exponent prime factors to calculate the LCM of 30828 and 30843.

LCM(30828,30843) = 2² × 3² × 7¹ × 367¹ × 23¹ × 149¹
LCM(30828,30843) = 316942668