Least Common Multiple of 12436 and 12443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12436 and 12443 the smallest integer that is 154741148 that is divisible by both numbers.

Least Common Multiple (LCM) of 12436 and 12443 is 154741148.

LCM(12436,12443) = 154741148

LCM of 12436 and 12443

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

LCM of:
and

Least Common Multiple of 12436 and 12443

LCM of 12436 and 12443 is 154741148

Least common multiple can be found by multiplying the highest exponent prime factors of 12436 and 12443. First we will calculate the prime factors of 12436 and 12443.

Prime Factorization of 12436


2 12436
2 6218
3109 3109
1

Prime factors of 12436 are 2,3109. Prime factorization of 12436 in exponential form is:

12436 = 22×31091

Prime Factorization of 12443


23 12443
541 541
1

Prime factors of 12443 are 23,541. Prime factorization of 12443 in exponential form is:

12443 = 231×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 12436 and 12443.

LCM(12436,12443) = 22×231×5411×31091
LCM(12436,12443) = 154741148

Factors of 12436

List of positive integer factors of 12436 that divides 12436 without a remainder.

1, 2, 4, 3109, 6218, 12436

Factors of 12443

List of positive integer factors of 12443 that divides 12443 without a remainder.

1, 23, 541, 12443

Least Common Multiple of 12436 and 12443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12436 and 12443, than apply into the LCM equation.

GCF(12436,12443) = 1
LCM(12436,12443) = ( 12436 × 12443) / 1
LCM(12436,12443) = 154741148 / 1
LCM(12436,12443) = 154741148

Properties of LCM 12436 and 12443

(i) The LCM of 12443 and 12436 is associative

LCM of 12436 and 12443 = LCM of 12443 and 12436

Related Least Common Multiples of 12436

Related Least Common Multiples of 12443

Frequently Asked Questions on LCM of 12436 and 12443

1. What is the LCM of 12436 and 12443?

Answer: LCM of 12436 and 12443 is 154741148.

2. What are the Factors of 12436?

Answer: Factors of 12436 are 1, 2, 4, 3109, 6218, 12436. There are 6 integers that are factors of 12436. The greatest factor of 12436 is 12436.

3. What are the Factors of 12443?

Answer: Factors of 12443 are 1, 23, 541, 12443. There are 4 integers that are factors of 12443. The greatest factor of 12443 is 12443.

4. How to Find the LCM of 12436 and 12443?

Answer:

Least Common Multiple of 12436 and 12443 = 154741148

Step 1: Find the prime factorization of 12436

12436 = 2 x 2 x 3109

Step 2: Find the prime factorization of 12443

12443 = 23 x 541

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

LCM = 154741148 = 2 x 2 x 23 x 541 x 3109

Step 4: Therefore, the least common multiple of 12436 and 12443 is 154741148.