Least Common Multiple of 12230 and 12237

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 12237 the smallest integer that is 149658510 that is divisible by both numbers.

Least Common Multiple (LCM) of 12230 and 12237 is 149658510.

LCM(12230,12237) = 149658510

LCM of 12230 and 12237

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

LCM of:
and

Least Common Multiple of 12230 and 12237

LCM of 12230 and 12237 is 149658510

Least common multiple can be found by multiplying the highest exponent prime factors of 12230 and 12237. First we will calculate the prime factors of 12230 and 12237.

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 12237


3 12237
4079 4079
1

Prime factors of 12237 are 3,4079. Prime factorization of 12237 in exponential form is:

12237 = 31×40791

Now multiplying the highest exponent prime factors to calculate the LCM of 12230 and 12237.

LCM(12230,12237) = 21×31×51×12231×40791
LCM(12230,12237) = 149658510

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 12237

List of positive integer factors of 12237 that divides 12237 without a remainder.

1, 3, 4079, 12237

Least Common Multiple of 12230 and 12237 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 12237, than apply into the LCM equation.

GCF(12230,12237) = 1
LCM(12230,12237) = ( 12230 × 12237) / 1
LCM(12230,12237) = 149658510 / 1
LCM(12230,12237) = 149658510

Properties of LCM 12230 and 12237

(i) The LCM of 12237 and 12230 is associative

LCM of 12230 and 12237 = LCM of 12237 and 12230

Related Least Common Multiples of 12230

Related Least Common Multiples of 12237

Frequently Asked Questions on LCM of 12230 and 12237

1. What is the LCM of 12230 and 12237?

Answer: LCM of 12230 and 12237 is 149658510.

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 12237?

Answer: Factors of 12237 are 1, 3, 4079, 12237. There are 4 integers that are factors of 12237. The greatest factor of 12237 is 12237.

4. How to Find the LCM of 12230 and 12237?

Answer:

Least Common Multiple of 12230 and 12237 = 149658510

Step 1: Find the prime factorization of 12230

12230 = 2 x 5 x 1223

Step 2: Find the prime factorization of 12237

12237 = 3 x 4079

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

LCM = 149658510 = 2 x 3 x 5 x 1223 x 4079

Step 4: Therefore, the least common multiple of 12230 and 12237 is 149658510.