What is the Least Common Multiple of 8705 and 8723?

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 8705 and 8723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8723, than apply into the LCM equation.

GCF(8705,8723) = 1
LCM(8705,8723) = ( 8705 × 8723) / 1
LCM(8705,8723) = 75933715 / 1
LCM(8705,8723) = 75933715

Least Common Multiple (LCM) of 8705 and 8723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8723. First we will calculate the prime factors of 8705 and 8723.

Prime Factorization of 8705

Prime Factorization of 8723

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8723.

LCM(8705,8723) = 5¹ × 1741¹ × 11¹ × 13¹ × 61¹
LCM(8705,8723) = 75933715