What is the Least Common Multiple of 28489 and 28495?

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 28489 and 28495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28489 and 28495, than apply into the LCM equation.

GCF(28489,28495) = 1
LCM(28489,28495) = ( 28489 × 28495) / 1
LCM(28489,28495) = 811794055 / 1
LCM(28489,28495) = 811794055

Least Common Multiple (LCM) of 28489 and 28495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28489 and 28495. First we will calculate the prime factors of 28489 and 28495.

Prime Factorization of 28489

Prime Factorization of 28495

Now multiplying the highest exponent prime factors to calculate the LCM of 28489 and 28495.

LCM(28489,28495) = 31¹ × 919¹ × 5¹ × 41¹ × 139¹
LCM(28489,28495) = 811794055