What is the Least Common Multiple of 79855 and 79875?

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 79855 and 79875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79855 and 79875, than apply into the LCM equation.

GCF(79855,79875) = 5
LCM(79855,79875) = ( 79855 × 79875) / 5
LCM(79855,79875) = 6378418125 / 5
LCM(79855,79875) = 1275683625

Least Common Multiple (LCM) of 79855 and 79875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79855 and 79875. First we will calculate the prime factors of 79855 and 79875.

Prime Factorization of 79855

Prime Factorization of 79875

Now multiplying the highest exponent prime factors to calculate the LCM of 79855 and 79875.

LCM(79855,79875) = 5³ × 15971¹ × 3² × 71¹
LCM(79855,79875) = 1275683625