What is the Least Common Multiple of 84504 and 84519?

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 84504 and 84519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84504 and 84519, than apply into the LCM equation.

GCF(84504,84519) = 3
LCM(84504,84519) = ( 84504 × 84519) / 3
LCM(84504,84519) = 7142193576 / 3
LCM(84504,84519) = 2380731192

Least Common Multiple (LCM) of 84504 and 84519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84504 and 84519. First we will calculate the prime factors of 84504 and 84519.

Prime Factorization of 84504

Prime Factorization of 84519

Now multiplying the highest exponent prime factors to calculate the LCM of 84504 and 84519.

LCM(84504,84519) = 2³ × 3² × 7¹ × 503¹ × 9391¹
LCM(84504,84519) = 2380731192