What is the Least Common Multiple of 26728 and 26746?

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 26746 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 26746, than apply into the LCM equation.

GCF(26728,26746) = 2
LCM(26728,26746) = ( 26728 × 26746) / 2
LCM(26728,26746) = 714867088 / 2
LCM(26728,26746) = 357433544

Least Common Multiple (LCM) of 26728 and 26746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26728 and 26746. First we will calculate the prime factors of 26728 and 26746.

Prime Factorization of 26728

Prime Factorization of 26746

Now multiplying the highest exponent prime factors to calculate the LCM of 26728 and 26746.

LCM(26728,26746) = 2³ × 13¹ × 257¹ × 43¹ × 311¹
LCM(26728,26746) = 357433544