Least Common Multiple of 31424 and 31429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31424 and 31429 the smallest integer that is 987624896 that is divisible by both numbers.

Least Common Multiple (LCM) of 31424 and 31429 is 987624896.

LCM(31424,31429) = 987624896

LCM of 31424 and 31429

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

LCM of:
and

Least Common Multiple of 31424 and 31429

LCM of 31424 and 31429 is 987624896

Least common multiple can be found by multiplying the highest exponent prime factors of 31424 and 31429. First we will calculate the prime factors of 31424 and 31429.

Prime Factorization of 31424


2 31424
2 15712
2 7856
2 3928
2 1964
2 982
491 491
1

Prime factors of 31424 are 2,491. Prime factorization of 31424 in exponential form is:

31424 = 26×4911

Prime Factorization of 31429


53 31429
593 593
1

Prime factors of 31429 are 53,593. Prime factorization of 31429 in exponential form is:

31429 = 531×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 31424 and 31429.

LCM(31424,31429) = 26×531×4911×5931
LCM(31424,31429) = 987624896

Factors of 31424

List of positive integer factors of 31424 that divides 31424 without a remainder.

1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712, 31424

Factors of 31429

List of positive integer factors of 31429 that divides 31429 without a remainder.

1, 53, 593, 31429

Least Common Multiple of 31424 and 31429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31424 and 31429, than apply into the LCM equation.

GCF(31424,31429) = 1
LCM(31424,31429) = ( 31424 × 31429) / 1
LCM(31424,31429) = 987624896 / 1
LCM(31424,31429) = 987624896

Properties of LCM 31424 and 31429

(i) The LCM of 31429 and 31424 is associative

LCM of 31424 and 31429 = LCM of 31429 and 31424

Related Least Common Multiples of 31424

Related Least Common Multiples of 31429

Frequently Asked Questions on LCM of 31424 and 31429

1. What is the LCM of 31424 and 31429?

Answer: LCM of 31424 and 31429 is 987624896.

2. What are the Factors of 31424?

Answer: Factors of 31424 are 1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712, 31424. There are 14 integers that are factors of 31424. The greatest factor of 31424 is 31424.

3. What are the Factors of 31429?

Answer: Factors of 31429 are 1, 53, 593, 31429. There are 4 integers that are factors of 31429. The greatest factor of 31429 is 31429.

4. How to Find the LCM of 31424 and 31429?

Answer:

Least Common Multiple of 31424 and 31429 = 987624896

Step 1: Find the prime factorization of 31424

31424 = 2 x 2 x 2 x 2 x 2 x 2 x 491

Step 2: Find the prime factorization of 31429

31429 = 53 x 593

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

LCM = 987624896 = 2 x 2 x 2 x 2 x 2 x 2 x 53 x 491 x 593

Step 4: Therefore, the least common multiple of 31424 and 31429 is 987624896.