What is the Least Common Multiple of 11346 and 11352?

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 11346 and 11352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11346 and 11352, than apply into the LCM equation.

GCF(11346,11352) = 6
LCM(11346,11352) = ( 11346 × 11352) / 6
LCM(11346,11352) = 128799792 / 6
LCM(11346,11352) = 21466632

Least Common Multiple (LCM) of 11346 and 11352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11346 and 11352. First we will calculate the prime factors of 11346 and 11352.

Prime Factorization of 11346

Prime Factorization of 11352

Now multiplying the highest exponent prime factors to calculate the LCM of 11346 and 11352.

LCM(11346,11352) = 2³ × 3¹ × 31¹ × 61¹ × 11¹ × 43¹
LCM(11346,11352) = 21466632