What is the Least Common Multiple of 84875 and 84885?

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 84875 and 84885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84875 and 84885, than apply into the LCM equation.

GCF(84875,84885) = 5
LCM(84875,84885) = ( 84875 × 84885) / 5
LCM(84875,84885) = 7204614375 / 5
LCM(84875,84885) = 1440922875

Least Common Multiple (LCM) of 84875 and 84885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84875 and 84885. First we will calculate the prime factors of 84875 and 84885.

Prime Factorization of 84875

Prime Factorization of 84885

Now multiplying the highest exponent prime factors to calculate the LCM of 84875 and 84885.

LCM(84875,84885) = 5³ × 7¹ × 97¹ × 3¹ × 5659¹
LCM(84875,84885) = 1440922875