What is the Least Common Multiple of 8745 and 8765?

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 8745 and 8765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8745 and 8765, than apply into the LCM equation.

GCF(8745,8765) = 5
LCM(8745,8765) = ( 8745 × 8765) / 5
LCM(8745,8765) = 76649925 / 5
LCM(8745,8765) = 15329985

Least Common Multiple (LCM) of 8745 and 8765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8745 and 8765. First we will calculate the prime factors of 8745 and 8765.

Prime Factorization of 8745

Prime Factorization of 8765

Now multiplying the highest exponent prime factors to calculate the LCM of 8745 and 8765.

LCM(8745,8765) = 3¹ × 5¹ × 11¹ × 53¹ × 1753¹
LCM(8745,8765) = 15329985