What is the Least Common Multiple of 8705 and 8716?

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 8716 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 8716, than apply into the LCM equation.

GCF(8705,8716) = 1
LCM(8705,8716) = ( 8705 × 8716) / 1
LCM(8705,8716) = 75872780 / 1
LCM(8705,8716) = 75872780

Least Common Multiple (LCM) of 8705 and 8716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8716. First we will calculate the prime factors of 8705 and 8716.

Prime Factorization of 8705

Prime Factorization of 8716

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8716.

LCM(8705,8716) = 5¹ × 1741¹ × 2² × 2179¹
LCM(8705,8716) = 75872780