Least Common Multiple of 12421 and 12429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12421 and 12429 the smallest integer that is 154380609 that is divisible by both numbers.

Least Common Multiple (LCM) of 12421 and 12429 is 154380609.

LCM(12421,12429) = 154380609

LCM of 12421 and 12429

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

LCM of:
and

Least Common Multiple of 12421 and 12429

LCM of 12421 and 12429 is 154380609

Least common multiple can be found by multiplying the highest exponent prime factors of 12421 and 12429. First we will calculate the prime factors of 12421 and 12429.

Prime Factorization of 12421


12421 12421
1

Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:

12421 = 124211

Prime Factorization of 12429


3 12429
3 4143
1381 1381
1

Prime factors of 12429 are 3,1381. Prime factorization of 12429 in exponential form is:

12429 = 32×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12429.

LCM(12421,12429) = 32×13811×124211
LCM(12421,12429) = 154380609

Factors of 12421

List of positive integer factors of 12421 that divides 12421 without a remainder.

1, 12421

Factors of 12429

List of positive integer factors of 12429 that divides 12429 without a remainder.

1, 3, 9, 1381, 4143, 12429

Least Common Multiple of 12421 and 12429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12429, than apply into the LCM equation.

GCF(12421,12429) = 1
LCM(12421,12429) = ( 12421 × 12429) / 1
LCM(12421,12429) = 154380609 / 1
LCM(12421,12429) = 154380609

Properties of LCM 12421 and 12429

(i) The LCM of 12429 and 12421 is associative

LCM of 12421 and 12429 = LCM of 12429 and 12421

Related Least Common Multiples of 12421

Related Least Common Multiples of 12429

Frequently Asked Questions on LCM of 12421 and 12429

1. What is the LCM of 12421 and 12429?

Answer: LCM of 12421 and 12429 is 154380609.

2. What are the Factors of 12421?

Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.

3. What are the Factors of 12429?

Answer: Factors of 12429 are 1, 3, 9, 1381, 4143, 12429. There are 6 integers that are factors of 12429. The greatest factor of 12429 is 12429.

4. How to Find the LCM of 12421 and 12429?

Answer:

Least Common Multiple of 12421 and 12429 = 154380609

Step 1: Find the prime factorization of 12421

12421 = 12421

Step 2: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

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

LCM = 154380609 = 3 x 3 x 1381 x 12421

Step 4: Therefore, the least common multiple of 12421 and 12429 is 154380609.