What is the Least Common Multiple of 11352 and 11372?

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 11352 and 11372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11352 and 11372, than apply into the LCM equation.

GCF(11352,11372) = 4
LCM(11352,11372) = ( 11352 × 11372) / 4
LCM(11352,11372) = 129094944 / 4
LCM(11352,11372) = 32273736

Least Common Multiple (LCM) of 11352 and 11372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11352 and 11372. First we will calculate the prime factors of 11352 and 11372.

Prime Factorization of 11352

Prime Factorization of 11372

Now multiplying the highest exponent prime factors to calculate the LCM of 11352 and 11372.

LCM(11352,11372) = 2³ × 3¹ × 11¹ × 43¹ × 2843¹
LCM(11352,11372) = 32273736