What is the Least Common Multiple of 30782 and 30788?

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 30782 and 30788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30782 and 30788, than apply into the LCM equation.

GCF(30782,30788) = 2
LCM(30782,30788) = ( 30782 × 30788) / 2
LCM(30782,30788) = 947716216 / 2
LCM(30782,30788) = 473858108

Least Common Multiple (LCM) of 30782 and 30788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30782 and 30788. First we will calculate the prime factors of 30782 and 30788.

Prime Factorization of 30782

Prime Factorization of 30788

Now multiplying the highest exponent prime factors to calculate the LCM of 30782 and 30788.

LCM(30782,30788) = 2² × 15391¹ × 43¹ × 179¹
LCM(30782,30788) = 473858108