What is the Least Common Multiple of 84054 and 84069?

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 84054 and 84069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84054 and 84069, than apply into the LCM equation.

GCF(84054,84069) = 3
LCM(84054,84069) = ( 84054 × 84069) / 3
LCM(84054,84069) = 7066335726 / 3
LCM(84054,84069) = 2355445242

Least Common Multiple (LCM) of 84054 and 84069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84054 and 84069. First we will calculate the prime factors of 84054 and 84069.

Prime Factorization of 84054

Prime Factorization of 84069

Now multiplying the highest exponent prime factors to calculate the LCM of 84054 and 84069.

LCM(84054,84069) = 2¹ × 3² × 14009¹ × 9341¹
LCM(84054,84069) = 2355445242