Least Common Multiple of 12230 and 12236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12230 and 12236 the smallest integer that is 74823140 that is divisible by both numbers.

Least Common Multiple (LCM) of 12230 and 12236 is 74823140.

LCM(12230,12236) = 74823140

LCM of 12230 and 12236

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

LCM of:
and

Least Common Multiple of 12230 and 12236

LCM of 12230 and 12236 is 74823140

Least common multiple can be found by multiplying the highest exponent prime factors of 12230 and 12236. First we will calculate the prime factors of 12230 and 12236.

Prime Factorization of 12230


2 12230
5 6115
1223 1223
1

Prime factors of 12230 are 2, 5,1223. Prime factorization of 12230 in exponential form is:

12230 = 21×51×12231

Prime Factorization of 12236


2 12236
2 6118
7 3059
19 437
23 23
1

Prime factors of 12236 are 2, 7, 19,23. Prime factorization of 12236 in exponential form is:

12236 = 22×71×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 12230 and 12236.

LCM(12230,12236) = 22×51×71×191×231×12231
LCM(12230,12236) = 74823140

Factors of 12230

List of positive integer factors of 12230 that divides 12230 without a remainder.

1, 2, 5, 10, 1223, 2446, 6115, 12230

Factors of 12236

List of positive integer factors of 12236 that divides 12236 without a remainder.

1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 76, 92, 133, 161, 266, 322, 437, 532, 644, 874, 1748, 3059, 6118, 12236

Least Common Multiple of 12230 and 12236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12230 and 12236, than apply into the LCM equation.

GCF(12230,12236) = 2
LCM(12230,12236) = ( 12230 × 12236) / 2
LCM(12230,12236) = 149646280 / 2
LCM(12230,12236) = 74823140

Properties of LCM 12230 and 12236

(i) The LCM of 12236 and 12230 is associative

LCM of 12230 and 12236 = LCM of 12236 and 12230

Related Least Common Multiples of 12230

Related Least Common Multiples of 12236

Frequently Asked Questions on LCM of 12230 and 12236

1. What is the LCM of 12230 and 12236?

Answer: LCM of 12230 and 12236 is 74823140.

2. What are the Factors of 12230?

Answer: Factors of 12230 are 1, 2, 5, 10, 1223, 2446, 6115, 12230. There are 8 integers that are factors of 12230. The greatest factor of 12230 is 12230.

3. What are the Factors of 12236?

Answer: Factors of 12236 are 1, 2, 4, 7, 14, 19, 23, 28, 38, 46, 76, 92, 133, 161, 266, 322, 437, 532, 644, 874, 1748, 3059, 6118, 12236. There are 24 integers that are factors of 12236. The greatest factor of 12236 is 12236.

4. How to Find the LCM of 12230 and 12236?

Answer:

Least Common Multiple of 12230 and 12236 = 74823140

Step 1: Find the prime factorization of 12230

12230 = 2 x 5 x 1223

Step 2: Find the prime factorization of 12236

12236 = 2 x 2 x 7 x 19 x 23

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

LCM = 74823140 = 2 x 2 x 5 x 7 x 19 x 23 x 1223

Step 4: Therefore, the least common multiple of 12230 and 12236 is 74823140.