What is the Least Common Multiple of 11714 and 11728?

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 11714 and 11728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11714 and 11728, than apply into the LCM equation.

GCF(11714,11728) = 2
LCM(11714,11728) = ( 11714 × 11728) / 2
LCM(11714,11728) = 137381792 / 2
LCM(11714,11728) = 68690896

Least Common Multiple (LCM) of 11714 and 11728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11714 and 11728. First we will calculate the prime factors of 11714 and 11728.

Prime Factorization of 11714

Prime Factorization of 11728

Now multiplying the highest exponent prime factors to calculate the LCM of 11714 and 11728.

LCM(11714,11728) = 2⁴ × 5857¹ × 733¹
LCM(11714,11728) = 68690896