What is the Least Common Multiple of 28781 and 28798?

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 28781 and 28798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28781 and 28798, than apply into the LCM equation.

GCF(28781,28798) = 17
LCM(28781,28798) = ( 28781 × 28798) / 17
LCM(28781,28798) = 828835238 / 17
LCM(28781,28798) = 48755014

Least Common Multiple (LCM) of 28781 and 28798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28781 and 28798. First we will calculate the prime factors of 28781 and 28798.

Prime Factorization of 28781

Prime Factorization of 28798

Now multiplying the highest exponent prime factors to calculate the LCM of 28781 and 28798.

LCM(28781,28798) = 17¹ × 1693¹ × 2¹ × 7¹ × 11²
LCM(28781,28798) = 48755014