What is the Least Common Multiple of 28264 and 28271?

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 28264 and 28271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28264 and 28271, than apply into the LCM equation.

GCF(28264,28271) = 1
LCM(28264,28271) = ( 28264 × 28271) / 1
LCM(28264,28271) = 799051544 / 1
LCM(28264,28271) = 799051544

Least Common Multiple (LCM) of 28264 and 28271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28264 and 28271. First we will calculate the prime factors of 28264 and 28271.

Prime Factorization of 28264

Prime Factorization of 28271

Now multiplying the highest exponent prime factors to calculate the LCM of 28264 and 28271.

LCM(28264,28271) = 2³ × 3533¹ × 17¹ × 1663¹
LCM(28264,28271) = 799051544