What is the Least Common Multiple of 84033 and 84039?

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 84033 and 84039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84033 and 84039, than apply into the LCM equation.

GCF(84033,84039) = 3
LCM(84033,84039) = ( 84033 × 84039) / 3
LCM(84033,84039) = 7062049287 / 3
LCM(84033,84039) = 2354016429

Least Common Multiple (LCM) of 84033 and 84039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84033 and 84039. First we will calculate the prime factors of 84033 and 84039.

Prime Factorization of 84033

Prime Factorization of 84039

Now multiplying the highest exponent prime factors to calculate the LCM of 84033 and 84039.

LCM(84033,84039) = 3² × 9337¹ × 109¹ × 257¹
LCM(84033,84039) = 2354016429