What is the Least Common Multiple of 28769 and 28788?

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 28788 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 28788, than apply into the LCM equation.

GCF(28769,28788) = 1
LCM(28769,28788) = ( 28769 × 28788) / 1
LCM(28769,28788) = 828201972 / 1
LCM(28769,28788) = 828201972

Least Common Multiple (LCM) of 28769 and 28788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28769 and 28788. First we will calculate the prime factors of 28769 and 28788.

Prime Factorization of 28769

Prime Factorization of 28788

Now multiplying the highest exponent prime factors to calculate the LCM of 28769 and 28788.

LCM(28769,28788) = 13¹ × 2213¹ × 2² × 3¹ × 2399¹
LCM(28769,28788) = 828201972