What is the Least Common Multiple of 8772 and 8789?

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 8772 and 8789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8772 and 8789, than apply into the LCM equation.

GCF(8772,8789) = 17
LCM(8772,8789) = ( 8772 × 8789) / 17
LCM(8772,8789) = 77097108 / 17
LCM(8772,8789) = 4535124

Least Common Multiple (LCM) of 8772 and 8789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8772 and 8789. First we will calculate the prime factors of 8772 and 8789.

Prime Factorization of 8772

Prime Factorization of 8789

Now multiplying the highest exponent prime factors to calculate the LCM of 8772 and 8789.

LCM(8772,8789) = 2² × 3¹ × 17¹ × 43¹ × 11¹ × 47¹
LCM(8772,8789) = 4535124