What is the Least Common Multiple of 34798 and 34804?

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 34798 and 34804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34798 and 34804, than apply into the LCM equation.

GCF(34798,34804) = 2
LCM(34798,34804) = ( 34798 × 34804) / 2
LCM(34798,34804) = 1211109592 / 2
LCM(34798,34804) = 605554796

Least Common Multiple (LCM) of 34798 and 34804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34798 and 34804. First we will calculate the prime factors of 34798 and 34804.

Prime Factorization of 34798

Prime Factorization of 34804

Now multiplying the highest exponent prime factors to calculate the LCM of 34798 and 34804.

LCM(34798,34804) = 2² × 127¹ × 137¹ × 7¹ × 11¹ × 113¹
LCM(34798,34804) = 605554796