What is the Least Common Multiple of 28278 and 28298?

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 28278 and 28298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28278 and 28298, than apply into the LCM equation.

GCF(28278,28298) = 2
LCM(28278,28298) = ( 28278 × 28298) / 2
LCM(28278,28298) = 800210844 / 2
LCM(28278,28298) = 400105422

Least Common Multiple (LCM) of 28278 and 28298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28278 and 28298. First we will calculate the prime factors of 28278 and 28298.

Prime Factorization of 28278

Prime Factorization of 28298

Now multiplying the highest exponent prime factors to calculate the LCM of 28278 and 28298.

LCM(28278,28298) = 2¹ × 3² × 1571¹ × 14149¹
LCM(28278,28298) = 400105422