What is the Least Common Multiple of 84039 and 84045?

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 84045 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 84045, than apply into the LCM equation.

GCF(84039,84045) = 3
LCM(84039,84045) = ( 84039 × 84045) / 3
LCM(84039,84045) = 7063057755 / 3
LCM(84039,84045) = 2354352585

Least Common Multiple (LCM) of 84039 and 84045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84039 and 84045. First we will calculate the prime factors of 84039 and 84045.

Prime Factorization of 84039

Prime Factorization of 84045

Now multiplying the highest exponent prime factors to calculate the LCM of 84039 and 84045.

LCM(84039,84045) = 3¹ × 109¹ × 257¹ × 5¹ × 13¹ × 431¹
LCM(84039,84045) = 2354352585