What is the Least Common Multiple of 26705 and 26713?

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 26713 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 26713, than apply into the LCM equation.

GCF(26705,26713) = 1
LCM(26705,26713) = ( 26705 × 26713) / 1
LCM(26705,26713) = 713370665 / 1
LCM(26705,26713) = 713370665

Least Common Multiple (LCM) of 26705 and 26713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26705 and 26713. First we will calculate the prime factors of 26705 and 26713.

Prime Factorization of 26705

Prime Factorization of 26713

Now multiplying the highest exponent prime factors to calculate the LCM of 26705 and 26713.

LCM(26705,26713) = 5¹ × 7² × 109¹ × 26713¹
LCM(26705,26713) = 713370665