What is the Least Common Multiple of 84543 and 84549?

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 84543 and 84549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84543 and 84549, than apply into the LCM equation.

GCF(84543,84549) = 3
LCM(84543,84549) = ( 84543 × 84549) / 3
LCM(84543,84549) = 7148026107 / 3
LCM(84543,84549) = 2382675369

Least Common Multiple (LCM) of 84543 and 84549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84543 and 84549. First we will calculate the prime factors of 84543 and 84549.

Prime Factorization of 84543

Prime Factorization of 84549

Now multiplying the highest exponent prime factors to calculate the LCM of 84543 and 84549.

LCM(84543,84549) = 3¹ × 28181¹ × 28183¹
LCM(84543,84549) = 2382675369