What is the Least Common Multiple of 79259 and 79275?

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 79259 and 79275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79259 and 79275, than apply into the LCM equation.

GCF(79259,79275) = 1
LCM(79259,79275) = ( 79259 × 79275) / 1
LCM(79259,79275) = 6283257225 / 1
LCM(79259,79275) = 6283257225

Least Common Multiple (LCM) of 79259 and 79275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79259 and 79275. First we will calculate the prime factors of 79259 and 79275.

Prime Factorization of 79259

Prime Factorization of 79275

Now multiplying the highest exponent prime factors to calculate the LCM of 79259 and 79275.

LCM(79259,79275) = 79259¹ × 3¹ × 5² × 7¹ × 151¹
LCM(79259,79275) = 6283257225