What is the Least Common Multiple of 80276 and 80294?

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 80276 and 80294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80276 and 80294, than apply into the LCM equation.

GCF(80276,80294) = 2
LCM(80276,80294) = ( 80276 × 80294) / 2
LCM(80276,80294) = 6445681144 / 2
LCM(80276,80294) = 3222840572

Least Common Multiple (LCM) of 80276 and 80294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80276 and 80294. First we will calculate the prime factors of 80276 and 80294.

Prime Factorization of 80276

Prime Factorization of 80294

Now multiplying the highest exponent prime factors to calculate the LCM of 80276 and 80294.

LCM(80276,80294) = 2² × 7¹ × 47¹ × 61¹ × 19¹ × 2113¹
LCM(80276,80294) = 3222840572