What is the Least Common Multiple of 26714 and 26728?

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 26714 and 26728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26714 and 26728, than apply into the LCM equation.

GCF(26714,26728) = 2
LCM(26714,26728) = ( 26714 × 26728) / 2
LCM(26714,26728) = 714011792 / 2
LCM(26714,26728) = 357005896

Least Common Multiple (LCM) of 26714 and 26728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26714 and 26728. First we will calculate the prime factors of 26714 and 26728.

Prime Factorization of 26714

Prime Factorization of 26728

Now multiplying the highest exponent prime factors to calculate the LCM of 26714 and 26728.

LCM(26714,26728) = 2³ × 19² × 37¹ × 13¹ × 257¹
LCM(26714,26728) = 357005896