Least Common Multiple of 12429 and 12435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12429 and 12435 the smallest integer that is 51518205 that is divisible by both numbers.

Least Common Multiple (LCM) of 12429 and 12435 is 51518205.

LCM(12429,12435) = 51518205

LCM of 12429 and 12435

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

LCM of:
and

Least Common Multiple of 12429 and 12435

LCM of 12429 and 12435 is 51518205

Least common multiple can be found by multiplying the highest exponent prime factors of 12429 and 12435. First we will calculate the prime factors of 12429 and 12435.

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

Prime Factorization of 12435


3 12435
5 4145
829 829
1

Prime factors of 12435 are 3, 5,829. Prime factorization of 12435 in exponential form is:

12435 = 31×51×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 12429 and 12435.

LCM(12429,12435) = 32×51×8291×13811
LCM(12429,12435) = 51518205

Factors of 12429

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

1, 3, 9, 1381, 4143, 12429

Factors of 12435

List of positive integer factors of 12435 that divides 12435 without a remainder.

1, 3, 5, 15, 829, 2487, 4145, 12435

Least Common Multiple of 12429 and 12435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12429 and 12435, than apply into the LCM equation.

GCF(12429,12435) = 3
LCM(12429,12435) = ( 12429 × 12435) / 3
LCM(12429,12435) = 154554615 / 3
LCM(12429,12435) = 51518205

Properties of LCM 12429 and 12435

(i) The LCM of 12435 and 12429 is associative

LCM of 12429 and 12435 = LCM of 12435 and 12429

Related Least Common Multiples of 12429

Related Least Common Multiples of 12435

Frequently Asked Questions on LCM of 12429 and 12435

1. What is the LCM of 12429 and 12435?

Answer: LCM of 12429 and 12435 is 51518205.

2. 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.

3. What are the Factors of 12435?

Answer: Factors of 12435 are 1, 3, 5, 15, 829, 2487, 4145, 12435. There are 8 integers that are factors of 12435. The greatest factor of 12435 is 12435.

4. How to Find the LCM of 12429 and 12435?

Answer:

Least Common Multiple of 12429 and 12435 = 51518205

Step 1: Find the prime factorization of 12429

12429 = 3 x 3 x 1381

Step 2: Find the prime factorization of 12435

12435 = 3 x 5 x 829

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

LCM = 51518205 = 3 x 3 x 5 x 829 x 1381

Step 4: Therefore, the least common multiple of 12429 and 12435 is 51518205.