What is the Least Common Multiple of 30792 and 30806?

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 30792 and 30806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30792 and 30806, than apply into the LCM equation.

GCF(30792,30806) = 2
LCM(30792,30806) = ( 30792 × 30806) / 2
LCM(30792,30806) = 948578352 / 2
LCM(30792,30806) = 474289176

Least Common Multiple (LCM) of 30792 and 30806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30792 and 30806. First we will calculate the prime factors of 30792 and 30806.

Prime Factorization of 30792

Prime Factorization of 30806

Now multiplying the highest exponent prime factors to calculate the LCM of 30792 and 30806.

LCM(30792,30806) = 2³ × 3¹ × 1283¹ × 73¹ × 211¹
LCM(30792,30806) = 474289176