What is the Least Common Multiple of 84225 and 84243?

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 84225 and 84243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84225 and 84243, than apply into the LCM equation.

GCF(84225,84243) = 3
LCM(84225,84243) = ( 84225 × 84243) / 3
LCM(84225,84243) = 7095366675 / 3
LCM(84225,84243) = 2365122225

Least Common Multiple (LCM) of 84225 and 84243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84225 and 84243. First we will calculate the prime factors of 84225 and 84243.

Prime Factorization of 84225

Prime Factorization of 84243

Now multiplying the highest exponent prime factors to calculate the LCM of 84225 and 84243.

LCM(84225,84243) = 3¹ × 5² × 1123¹ × 28081¹
LCM(84225,84243) = 2365122225