What is the Least Common Multiple of 82904 and 82919?

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 82904 and 82919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82904 and 82919, than apply into the LCM equation.

GCF(82904,82919) = 1
LCM(82904,82919) = ( 82904 × 82919) / 1
LCM(82904,82919) = 6874316776 / 1
LCM(82904,82919) = 6874316776

Least Common Multiple (LCM) of 82904 and 82919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82904 and 82919. First we will calculate the prime factors of 82904 and 82919.

Prime Factorization of 82904

Prime Factorization of 82919

Now multiplying the highest exponent prime factors to calculate the LCM of 82904 and 82919.

LCM(82904,82919) = 2³ × 43¹ × 241¹ × 283¹ × 293¹
LCM(82904,82919) = 6874316776