Least Common Multiple of 12221 and 12228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12221 and 12228 the smallest integer that is 149438388 that is divisible by both numbers.

Least Common Multiple (LCM) of 12221 and 12228 is 149438388.

LCM(12221,12228) = 149438388

LCM of 12221 and 12228

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

LCM of:
and

Least Common Multiple of 12221 and 12228

LCM of 12221 and 12228 is 149438388

Least common multiple can be found by multiplying the highest exponent prime factors of 12221 and 12228. First we will calculate the prime factors of 12221 and 12228.

Prime Factorization of 12221


11 12221
11 1111
101 101
1

Prime factors of 12221 are 11,101. Prime factorization of 12221 in exponential form is:

12221 = 112×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12221 and 12228.

LCM(12221,12228) = 22×31×112×1011×10191
LCM(12221,12228) = 149438388

Factors of 12221

List of positive integer factors of 12221 that divides 12221 without a remainder.

1, 11, 101, 121, 1111, 12221

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

Least Common Multiple of 12221 and 12228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12221 and 12228, than apply into the LCM equation.

GCF(12221,12228) = 1
LCM(12221,12228) = ( 12221 × 12228) / 1
LCM(12221,12228) = 149438388 / 1
LCM(12221,12228) = 149438388

Properties of LCM 12221 and 12228

(i) The LCM of 12228 and 12221 is associative

LCM of 12221 and 12228 = LCM of 12228 and 12221

Related Least Common Multiples of 12221

Related Least Common Multiples of 12228

Frequently Asked Questions on LCM of 12221 and 12228

1. What is the LCM of 12221 and 12228?

Answer: LCM of 12221 and 12228 is 149438388.

2. What are the Factors of 12221?

Answer: Factors of 12221 are 1, 11, 101, 121, 1111, 12221. There are 6 integers that are factors of 12221. The greatest factor of 12221 is 12221.

3. 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.

4. How to Find the LCM of 12221 and 12228?

Answer:

Least Common Multiple of 12221 and 12228 = 149438388

Step 1: Find the prime factorization of 12221

12221 = 11 x 11 x 101

Step 2: Find the prime factorization of 12228

12228 = 2 x 2 x 3 x 1019

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

LCM = 149438388 = 2 x 2 x 3 x 11 x 11 x 101 x 1019

Step 4: Therefore, the least common multiple of 12221 and 12228 is 149438388.