Least Common Multiple of 12228 and 12232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12228 and 12232 the smallest integer that is 37393224 that is divisible by both numbers.

Least Common Multiple (LCM) of 12228 and 12232 is 37393224.

LCM(12228,12232) = 37393224

LCM of 12228 and 12232

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 12228 and 12232

LCM of 12228 and 12232 is 37393224

Least common multiple can be found by multiplying the highest exponent prime factors of 12228 and 12232. First we will calculate the prime factors of 12228 and 12232.

Prime Factorization of 12228


2 12228
2 6114
3 3057
1019 1019
1

Prime factors of 12228 are 2, 3,1019. Prime factorization of 12228 in exponential form is:

12228 = 22×31×10191

Prime Factorization of 12232


2 12232
2 6116
2 3058
11 1529
139 139
1

Prime factors of 12232 are 2, 11,139. Prime factorization of 12232 in exponential form is:

12232 = 23×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 12228 and 12232.

LCM(12228,12232) = 23×31×111×1391×10191
LCM(12228,12232) = 37393224

Factors of 12228

List of positive integer factors of 12228 that divides 12228 without a remainder.

1, 2, 3, 4, 6, 12, 1019, 2038, 3057, 4076, 6114, 12228

Factors of 12232

List of positive integer factors of 12232 that divides 12232 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232

Least Common Multiple of 12228 and 12232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12228 and 12232, than apply into the LCM equation.

GCF(12228,12232) = 4
LCM(12228,12232) = ( 12228 × 12232) / 4
LCM(12228,12232) = 149572896 / 4
LCM(12228,12232) = 37393224

Properties of LCM 12228 and 12232

(i) The LCM of 12232 and 12228 is associative

LCM of 12228 and 12232 = LCM of 12232 and 12228

Related Least Common Multiples of 12228

Related Least Common Multiples of 12232

Frequently Asked Questions on LCM of 12228 and 12232

1. What is the LCM of 12228 and 12232?

Answer: LCM of 12228 and 12232 is 37393224.

2. What are the Factors of 12228?

Answer: Factors of 12228 are 1, 2, 3, 4, 6, 12, 1019, 2038, 3057, 4076, 6114, 12228. There are 12 integers that are factors of 12228. The greatest factor of 12228 is 12228.

3. What are the Factors of 12232?

Answer: Factors of 12232 are 1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232. There are 16 integers that are factors of 12232. The greatest factor of 12232 is 12232.

4. How to Find the LCM of 12228 and 12232?

Answer:

Least Common Multiple of 12228 and 12232 = 37393224

Step 1: Find the prime factorization of 12228

12228 = 2 x 2 x 3 x 1019

Step 2: Find the prime factorization of 12232

12232 = 2 x 2 x 2 x 11 x 139

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 37393224 = 2 x 2 x 2 x 3 x 11 x 139 x 1019

Step 4: Therefore, the least common multiple of 12228 and 12232 is 37393224.