What is the Least Common Multiple of 7835 and 7855?

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 7835 and 7855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7835 and 7855, than apply into the LCM equation.

GCF(7835,7855) = 5
LCM(7835,7855) = ( 7835 × 7855) / 5
LCM(7835,7855) = 61543925 / 5
LCM(7835,7855) = 12308785

Least Common Multiple (LCM) of 7835 and 7855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7835 and 7855. First we will calculate the prime factors of 7835 and 7855.

Prime Factorization of 7835

Prime Factorization of 7855

Now multiplying the highest exponent prime factors to calculate the LCM of 7835 and 7855.

LCM(7835,7855) = 5¹ × 1567¹ × 1571¹
LCM(7835,7855) = 12308785