What is the Least Common Multiple of 26895 and 26903?

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 26895 and 26903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26895 and 26903, than apply into the LCM equation.

GCF(26895,26903) = 1
LCM(26895,26903) = ( 26895 × 26903) / 1
LCM(26895,26903) = 723556185 / 1
LCM(26895,26903) = 723556185

Least Common Multiple (LCM) of 26895 and 26903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26895 and 26903. First we will calculate the prime factors of 26895 and 26903.

Prime Factorization of 26895

Prime Factorization of 26903

Now multiplying the highest exponent prime factors to calculate the LCM of 26895 and 26903.

LCM(26895,26903) = 3¹ × 5¹ × 11¹ × 163¹ × 26903¹
LCM(26895,26903) = 723556185