What is the Least Common Multiple of 26705 and 26716?

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 26705 and 26716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26705 and 26716, than apply into the LCM equation.

GCF(26705,26716) = 1
LCM(26705,26716) = ( 26705 × 26716) / 1
LCM(26705,26716) = 713450780 / 1
LCM(26705,26716) = 713450780

Least Common Multiple (LCM) of 26705 and 26716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26705 and 26716. First we will calculate the prime factors of 26705 and 26716.

Prime Factorization of 26705

Prime Factorization of 26716

Now multiplying the highest exponent prime factors to calculate the LCM of 26705 and 26716.

LCM(26705,26716) = 5¹ × 7² × 109¹ × 2² × 6679¹
LCM(26705,26716) = 713450780