What is the Least Common Multiple of 26852 and 26864?

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 26852 and 26864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26852 and 26864, than apply into the LCM equation.

GCF(26852,26864) = 4
LCM(26852,26864) = ( 26852 × 26864) / 4
LCM(26852,26864) = 721352128 / 4
LCM(26852,26864) = 180338032

Least Common Multiple (LCM) of 26852 and 26864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26852 and 26864. First we will calculate the prime factors of 26852 and 26864.

Prime Factorization of 26852

Prime Factorization of 26864

Now multiplying the highest exponent prime factors to calculate the LCM of 26852 and 26864.

LCM(26852,26864) = 2⁴ × 7² × 137¹ × 23¹ × 73¹
LCM(26852,26864) = 180338032