What is the Least Common Multiple of 30849 and 30856?

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 30849 and 30856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30849 and 30856, than apply into the LCM equation.

GCF(30849,30856) = 7
LCM(30849,30856) = ( 30849 × 30856) / 7
LCM(30849,30856) = 951876744 / 7
LCM(30849,30856) = 135982392

Least Common Multiple (LCM) of 30849 and 30856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30849 and 30856. First we will calculate the prime factors of 30849 and 30856.

Prime Factorization of 30849

Prime Factorization of 30856

Now multiplying the highest exponent prime factors to calculate the LCM of 30849 and 30856.

LCM(30849,30856) = 3¹ × 7¹ × 13¹ × 113¹ × 2³ × 19¹ × 29¹
LCM(30849,30856) = 135982392