What is the Least Common Multiple of 84270 and 84275?

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 84270 and 84275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84270 and 84275, than apply into the LCM equation.

GCF(84270,84275) = 5
LCM(84270,84275) = ( 84270 × 84275) / 5
LCM(84270,84275) = 7101854250 / 5
LCM(84270,84275) = 1420370850

Least Common Multiple (LCM) of 84270 and 84275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84270 and 84275. First we will calculate the prime factors of 84270 and 84275.

Prime Factorization of 84270

Prime Factorization of 84275

Now multiplying the highest exponent prime factors to calculate the LCM of 84270 and 84275.

LCM(84270,84275) = 2¹ × 3¹ × 5² × 53² × 3371¹
LCM(84270,84275) = 1420370850