What is the Least Common Multiple of 84225 and 84245?

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 84245 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 84245, than apply into the LCM equation.

GCF(84225,84245) = 5
LCM(84225,84245) = ( 84225 × 84245) / 5
LCM(84225,84245) = 7095535125 / 5
LCM(84225,84245) = 1419107025

Least Common Multiple (LCM) of 84225 and 84245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84225 and 84245. First we will calculate the prime factors of 84225 and 84245.

Prime Factorization of 84225

Prime Factorization of 84245

Now multiplying the highest exponent prime factors to calculate the LCM of 84225 and 84245.

LCM(84225,84245) = 3¹ × 5² × 1123¹ × 7¹ × 29¹ × 83¹
LCM(84225,84245) = 1419107025