What is the Least Common Multiple of 28312 and 28331?

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 28312 and 28331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28312 and 28331, than apply into the LCM equation.

GCF(28312,28331) = 1
LCM(28312,28331) = ( 28312 × 28331) / 1
LCM(28312,28331) = 802107272 / 1
LCM(28312,28331) = 802107272

Least Common Multiple (LCM) of 28312 and 28331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28312 and 28331. First we will calculate the prime factors of 28312 and 28331.

Prime Factorization of 28312

Prime Factorization of 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 28312 and 28331.

LCM(28312,28331) = 2³ × 3539¹ × 41¹ × 691¹
LCM(28312,28331) = 802107272