What is the Least Common Multiple of 84275 and 84285?

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 84275 and 84285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84275 and 84285, than apply into the LCM equation.

GCF(84275,84285) = 5
LCM(84275,84285) = ( 84275 × 84285) / 5
LCM(84275,84285) = 7103118375 / 5
LCM(84275,84285) = 1420623675

Least Common Multiple (LCM) of 84275 and 84285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84275 and 84285. First we will calculate the prime factors of 84275 and 84285.

Prime Factorization of 84275

Prime Factorization of 84285

Now multiplying the highest exponent prime factors to calculate the LCM of 84275 and 84285.

LCM(84275,84285) = 5² × 3371¹ × 3² × 1873¹
LCM(84275,84285) = 1420623675