What is the Least Common Multiple of 34804 and 34819?

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 34804 and 34819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34804 and 34819, than apply into the LCM equation.

GCF(34804,34819) = 1
LCM(34804,34819) = ( 34804 × 34819) / 1
LCM(34804,34819) = 1211840476 / 1
LCM(34804,34819) = 1211840476

Least Common Multiple (LCM) of 34804 and 34819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34804 and 34819. First we will calculate the prime factors of 34804 and 34819.

Prime Factorization of 34804

Prime Factorization of 34819

Now multiplying the highest exponent prime factors to calculate the LCM of 34804 and 34819.

LCM(34804,34819) = 2² × 7¹ × 11¹ × 113¹ × 34819¹
LCM(34804,34819) = 1211840476