What is the Least Common Multiple of 34782 and 34792?

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 34782 and 34792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34782 and 34792, than apply into the LCM equation.

GCF(34782,34792) = 2
LCM(34782,34792) = ( 34782 × 34792) / 2
LCM(34782,34792) = 1210135344 / 2
LCM(34782,34792) = 605067672

Least Common Multiple (LCM) of 34782 and 34792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34782 and 34792. First we will calculate the prime factors of 34782 and 34792.

Prime Factorization of 34782

Prime Factorization of 34792

Now multiplying the highest exponent prime factors to calculate the LCM of 34782 and 34792.

LCM(34782,34792) = 2³ × 3¹ × 11¹ × 17¹ × 31¹ × 4349¹
LCM(34782,34792) = 605067672