What is the Least Common Multiple of 8765 and 8775?

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 8765 and 8775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8765 and 8775, than apply into the LCM equation.

GCF(8765,8775) = 5
LCM(8765,8775) = ( 8765 × 8775) / 5
LCM(8765,8775) = 76912875 / 5
LCM(8765,8775) = 15382575

Least Common Multiple (LCM) of 8765 and 8775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8765 and 8775. First we will calculate the prime factors of 8765 and 8775.

Prime Factorization of 8765

Prime Factorization of 8775

Now multiplying the highest exponent prime factors to calculate the LCM of 8765 and 8775.

LCM(8765,8775) = 5² × 1753¹ × 3³ × 13¹
LCM(8765,8775) = 15382575