What is the Least Common Multiple of 28478 and 28487?

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 28478 and 28487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28478 and 28487, than apply into the LCM equation.

GCF(28478,28487) = 1
LCM(28478,28487) = ( 28478 × 28487) / 1
LCM(28478,28487) = 811252786 / 1
LCM(28478,28487) = 811252786

Least Common Multiple (LCM) of 28478 and 28487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28478 and 28487. First we will calculate the prime factors of 28478 and 28487.

Prime Factorization of 28478

Prime Factorization of 28487

Now multiplying the highest exponent prime factors to calculate the LCM of 28478 and 28487.

LCM(28478,28487) = 2¹ × 29¹ × 491¹ × 61¹ × 467¹
LCM(28478,28487) = 811252786