What is the Least Common Multiple of 11728 and 11732?

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 11728 and 11732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11728 and 11732, than apply into the LCM equation.

GCF(11728,11732) = 4
LCM(11728,11732) = ( 11728 × 11732) / 4
LCM(11728,11732) = 137592896 / 4
LCM(11728,11732) = 34398224

Least Common Multiple (LCM) of 11728 and 11732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11728 and 11732. First we will calculate the prime factors of 11728 and 11732.

Prime Factorization of 11728

Prime Factorization of 11732

Now multiplying the highest exponent prime factors to calculate the LCM of 11728 and 11732.

LCM(11728,11732) = 2⁴ × 733¹ × 7¹ × 419¹
LCM(11728,11732) = 34398224