What is the Least Common Multiple of 26894 and 26902?

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 26894 and 26902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26894 and 26902, than apply into the LCM equation.

GCF(26894,26902) = 2
LCM(26894,26902) = ( 26894 × 26902) / 2
LCM(26894,26902) = 723502388 / 2
LCM(26894,26902) = 361751194

Least Common Multiple (LCM) of 26894 and 26902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26894 and 26902. First we will calculate the prime factors of 26894 and 26902.

Prime Factorization of 26894

Prime Factorization of 26902

Now multiplying the highest exponent prime factors to calculate the LCM of 26894 and 26902.

LCM(26894,26902) = 2¹ × 7¹ × 17¹ × 113¹ × 13451¹
LCM(26894,26902) = 361751194