What is the Least Common Multiple of 80260 and 80275?

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 80260 and 80275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80260 and 80275, than apply into the LCM equation.

GCF(80260,80275) = 5
LCM(80260,80275) = ( 80260 × 80275) / 5
LCM(80260,80275) = 6442871500 / 5
LCM(80260,80275) = 1288574300

Least Common Multiple (LCM) of 80260 and 80275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80260 and 80275. First we will calculate the prime factors of 80260 and 80275.

Prime Factorization of 80260

Prime Factorization of 80275

Now multiplying the highest exponent prime factors to calculate the LCM of 80260 and 80275.

LCM(80260,80275) = 2² × 5² × 4013¹ × 13² × 19¹
LCM(80260,80275) = 1288574300