What is the Least Common Multiple of 30821 and 30839?

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 30821 and 30839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30821 and 30839, than apply into the LCM equation.

GCF(30821,30839) = 1
LCM(30821,30839) = ( 30821 × 30839) / 1
LCM(30821,30839) = 950488819 / 1
LCM(30821,30839) = 950488819

Least Common Multiple (LCM) of 30821 and 30839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30821 and 30839. First we will calculate the prime factors of 30821 and 30839.

Prime Factorization of 30821

Prime Factorization of 30839

Now multiplying the highest exponent prime factors to calculate the LCM of 30821 and 30839.

LCM(30821,30839) = 7² × 17¹ × 37¹ × 30839¹
LCM(30821,30839) = 950488819