What is the Least Common Multiple of 28769 and 28783?

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 28769 and 28783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28769 and 28783, than apply into the LCM equation.

GCF(28769,28783) = 1
LCM(28769,28783) = ( 28769 × 28783) / 1
LCM(28769,28783) = 828058127 / 1
LCM(28769,28783) = 828058127

Least Common Multiple (LCM) of 28769 and 28783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28769 and 28783. First we will calculate the prime factors of 28769 and 28783.

Prime Factorization of 28769

Prime Factorization of 28783

Now multiplying the highest exponent prime factors to calculate the LCM of 28769 and 28783.

LCM(28769,28783) = 13¹ × 2213¹ × 107¹ × 269¹
LCM(28769,28783) = 828058127