What is the Least Common Multiple of 26728 and 26740?

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 26728 and 26740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26728 and 26740, than apply into the LCM equation.

GCF(26728,26740) = 4
LCM(26728,26740) = ( 26728 × 26740) / 4
LCM(26728,26740) = 714706720 / 4
LCM(26728,26740) = 178676680

Least Common Multiple (LCM) of 26728 and 26740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26728 and 26740. First we will calculate the prime factors of 26728 and 26740.

Prime Factorization of 26728

Prime Factorization of 26740

Now multiplying the highest exponent prime factors to calculate the LCM of 26728 and 26740.

LCM(26728,26740) = 2³ × 13¹ × 257¹ × 5¹ × 7¹ × 191¹
LCM(26728,26740) = 178676680