Least Common Multiple of 12424 and 12431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12424 and 12431 the smallest integer that is 154442744 that is divisible by both numbers.

Least Common Multiple (LCM) of 12424 and 12431 is 154442744.

LCM(12424,12431) = 154442744

LCM of 12424 and 12431

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

LCM of:
and

Least Common Multiple of 12424 and 12431

LCM of 12424 and 12431 is 154442744

Least common multiple can be found by multiplying the highest exponent prime factors of 12424 and 12431. First we will calculate the prime factors of 12424 and 12431.

Prime Factorization of 12424


2 12424
2 6212
2 3106
1553 1553
1

Prime factors of 12424 are 2,1553. Prime factorization of 12424 in exponential form is:

12424 = 23×15531

Prime Factorization of 12431


31 12431
401 401
1

Prime factors of 12431 are 31,401. Prime factorization of 12431 in exponential form is:

12431 = 311×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 12424 and 12431.

LCM(12424,12431) = 23×311×4011×15531
LCM(12424,12431) = 154442744

Factors of 12424

List of positive integer factors of 12424 that divides 12424 without a remainder.

1, 2, 4, 8, 1553, 3106, 6212, 12424

Factors of 12431

List of positive integer factors of 12431 that divides 12431 without a remainder.

1, 31, 401, 12431

Least Common Multiple of 12424 and 12431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12424 and 12431, than apply into the LCM equation.

GCF(12424,12431) = 1
LCM(12424,12431) = ( 12424 × 12431) / 1
LCM(12424,12431) = 154442744 / 1
LCM(12424,12431) = 154442744

Properties of LCM 12424 and 12431

(i) The LCM of 12431 and 12424 is associative

LCM of 12424 and 12431 = LCM of 12431 and 12424

Related Least Common Multiples of 12424

Related Least Common Multiples of 12431

Frequently Asked Questions on LCM of 12424 and 12431

1. What is the LCM of 12424 and 12431?

Answer: LCM of 12424 and 12431 is 154442744.

2. What are the Factors of 12424?

Answer: Factors of 12424 are 1, 2, 4, 8, 1553, 3106, 6212, 12424. There are 8 integers that are factors of 12424. The greatest factor of 12424 is 12424.

3. What are the Factors of 12431?

Answer: Factors of 12431 are 1, 31, 401, 12431. There are 4 integers that are factors of 12431. The greatest factor of 12431 is 12431.

4. How to Find the LCM of 12424 and 12431?

Answer:

Least Common Multiple of 12424 and 12431 = 154442744

Step 1: Find the prime factorization of 12424

12424 = 2 x 2 x 2 x 1553

Step 2: Find the prime factorization of 12431

12431 = 31 x 401

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

LCM = 154442744 = 2 x 2 x 2 x 31 x 401 x 1553

Step 4: Therefore, the least common multiple of 12424 and 12431 is 154442744.