Least Common Multiple of 12423 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 12423 and 12429 the smallest integer that is 51468489 that is divisible by both numbers.

Least Common Multiple (LCM) of 12423 and 12429 is 51468489.

LCM(12423,12429) = 51468489

LCM of 12423 and 12429

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

LCM of:
and

Least Common Multiple of 12423 and 12429

LCM of 12423 and 12429 is 51468489

Least common multiple can be found by multiplying the highest exponent prime factors of 12423 and 12429. First we will calculate the prime factors of 12423 and 12429.

Prime Factorization of 12423


3 12423
41 4141
101 101
1

Prime factors of 12423 are 3, 41,101. Prime factorization of 12423 in exponential form is:

12423 = 31×411×1011

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 12423 and 12429.

LCM(12423,12429) = 32×411×1011×13811
LCM(12423,12429) = 51468489

Factors of 12423

List of positive integer factors of 12423 that divides 12423 without a remainder.

1, 3, 41, 101, 123, 303, 4141, 12423

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 12423 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 12423 and 12429, than apply into the LCM equation.

GCF(12423,12429) = 3
LCM(12423,12429) = ( 12423 × 12429) / 3
LCM(12423,12429) = 154405467 / 3
LCM(12423,12429) = 51468489

Properties of LCM 12423 and 12429

(i) The LCM of 12429 and 12423 is associative

LCM of 12423 and 12429 = LCM of 12429 and 12423

Related Least Common Multiples of 12423

Related Least Common Multiples of 12429

Frequently Asked Questions on LCM of 12423 and 12429

1. What is the LCM of 12423 and 12429?

Answer: LCM of 12423 and 12429 is 51468489.

2. What are the Factors of 12423?

Answer: Factors of 12423 are 1, 3, 41, 101, 123, 303, 4141, 12423. There are 8 integers that are factors of 12423. The greatest factor of 12423 is 12423.

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 12423 and 12429?

Answer:

Least Common Multiple of 12423 and 12429 = 51468489

Step 1: Find the prime factorization of 12423

12423 = 3 x 41 x 101

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 = 51468489 = 3 x 3 x 41 x 101 x 1381

Step 4: Therefore, the least common multiple of 12423 and 12429 is 51468489.