Least Common Multiple of 12237 and 12245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12237 and 12245 the smallest integer that is 149842065 that is divisible by both numbers.

Least Common Multiple (LCM) of 12237 and 12245 is 149842065.

LCM(12237,12245) = 149842065

LCM of 12237 and 12245

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

LCM of:
and

Least Common Multiple of 12237 and 12245

LCM of 12237 and 12245 is 149842065

Least common multiple can be found by multiplying the highest exponent prime factors of 12237 and 12245. First we will calculate the prime factors of 12237 and 12245.

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

Prime Factorization of 12245


5 12245
31 2449
79 79
1

Prime factors of 12245 are 5, 31,79. Prime factorization of 12245 in exponential form is:

12245 = 51×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 12237 and 12245.

LCM(12237,12245) = 31×51×311×791×40791
LCM(12237,12245) = 149842065

Factors of 12237

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

1, 3, 4079, 12237

Factors of 12245

List of positive integer factors of 12245 that divides 12245 without a remainder.

1, 5, 31, 79, 155, 395, 2449, 12245

Least Common Multiple of 12237 and 12245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12237 and 12245, than apply into the LCM equation.

GCF(12237,12245) = 1
LCM(12237,12245) = ( 12237 × 12245) / 1
LCM(12237,12245) = 149842065 / 1
LCM(12237,12245) = 149842065

Properties of LCM 12237 and 12245

(i) The LCM of 12245 and 12237 is associative

LCM of 12237 and 12245 = LCM of 12245 and 12237

Related Least Common Multiples of 12237

Related Least Common Multiples of 12245

Frequently Asked Questions on LCM of 12237 and 12245

1. What is the LCM of 12237 and 12245?

Answer: LCM of 12237 and 12245 is 149842065.

2. 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.

3. What are the Factors of 12245?

Answer: Factors of 12245 are 1, 5, 31, 79, 155, 395, 2449, 12245. There are 8 integers that are factors of 12245. The greatest factor of 12245 is 12245.

4. How to Find the LCM of 12237 and 12245?

Answer:

Least Common Multiple of 12237 and 12245 = 149842065

Step 1: Find the prime factorization of 12237

12237 = 3 x 4079

Step 2: Find the prime factorization of 12245

12245 = 5 x 31 x 79

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

LCM = 149842065 = 3 x 5 x 31 x 79 x 4079

Step 4: Therefore, the least common multiple of 12237 and 12245 is 149842065.