What is the Least Common Multiple of 78875 and 78885?

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 78875 and 78885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78875 and 78885, than apply into the LCM equation.

GCF(78875,78885) = 5
LCM(78875,78885) = ( 78875 × 78885) / 5
LCM(78875,78885) = 6222054375 / 5
LCM(78875,78885) = 1244410875

Least Common Multiple (LCM) of 78875 and 78885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78875 and 78885. First we will calculate the prime factors of 78875 and 78885.

Prime Factorization of 78875

Prime Factorization of 78885

Now multiplying the highest exponent prime factors to calculate the LCM of 78875 and 78885.

LCM(78875,78885) = 5³ × 631¹ × 3² × 1753¹
LCM(78875,78885) = 1244410875