What is the Least Common Multiple of 84039 and 84051?

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 84039 and 84051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84039 and 84051, than apply into the LCM equation.

GCF(84039,84051) = 3
LCM(84039,84051) = ( 84039 × 84051) / 3
LCM(84039,84051) = 7063561989 / 3
LCM(84039,84051) = 2354520663

Least Common Multiple (LCM) of 84039 and 84051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84039 and 84051. First we will calculate the prime factors of 84039 and 84051.

Prime Factorization of 84039

Prime Factorization of 84051

Now multiplying the highest exponent prime factors to calculate the LCM of 84039 and 84051.

LCM(84039,84051) = 3³ × 109¹ × 257¹ × 11¹ × 283¹
LCM(84039,84051) = 2354520663