What is the Least Common Multiple of 84468 and 84483?

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 84468 and 84483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84468 and 84483, than apply into the LCM equation.

GCF(84468,84483) = 3
LCM(84468,84483) = ( 84468 × 84483) / 3
LCM(84468,84483) = 7136110044 / 3
LCM(84468,84483) = 2378703348

Least Common Multiple (LCM) of 84468 and 84483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84468 and 84483. First we will calculate the prime factors of 84468 and 84483.

Prime Factorization of 84468

Prime Factorization of 84483

Now multiplying the highest exponent prime factors to calculate the LCM of 84468 and 84483.

LCM(84468,84483) = 2² × 3⁴ × 7039¹ × 7¹ × 149¹
LCM(84468,84483) = 2378703348