Least Common Multiple of 31430 and 31438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31430 and 31438 the smallest integer that is 494048170 that is divisible by both numbers.

Least Common Multiple (LCM) of 31430 and 31438 is 494048170.

LCM(31430,31438) = 494048170

LCM of 31430 and 31438

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

LCM of:
and

Least Common Multiple of 31430 and 31438

LCM of 31430 and 31438 is 494048170

Least common multiple can be found by multiplying the highest exponent prime factors of 31430 and 31438. First we will calculate the prime factors of 31430 and 31438.

Prime Factorization of 31430


2 31430
5 15715
7 3143
449 449
1

Prime factors of 31430 are 2, 5, 7,449. Prime factorization of 31430 in exponential form is:

31430 = 21×51×71×4491

Prime Factorization of 31438


2 31438
11 15719
1429 1429
1

Prime factors of 31438 are 2, 11,1429. Prime factorization of 31438 in exponential form is:

31438 = 21×111×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 31430 and 31438.

LCM(31430,31438) = 21×51×71×111×4491×14291
LCM(31430,31438) = 494048170

Factors of 31430

List of positive integer factors of 31430 that divides 31430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715, 31430

Factors of 31438

List of positive integer factors of 31438 that divides 31438 without a remainder.

1, 2, 11, 22, 1429, 2858, 15719, 31438

Least Common Multiple of 31430 and 31438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31430 and 31438, than apply into the LCM equation.

GCF(31430,31438) = 2
LCM(31430,31438) = ( 31430 × 31438) / 2
LCM(31430,31438) = 988096340 / 2
LCM(31430,31438) = 494048170

Properties of LCM 31430 and 31438

(i) The LCM of 31438 and 31430 is associative

LCM of 31430 and 31438 = LCM of 31438 and 31430

Related Least Common Multiples of 31430

Related Least Common Multiples of 31438

Frequently Asked Questions on LCM of 31430 and 31438

1. What is the LCM of 31430 and 31438?

Answer: LCM of 31430 and 31438 is 494048170.

2. What are the Factors of 31430?

Answer: Factors of 31430 are 1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715, 31430. There are 16 integers that are factors of 31430. The greatest factor of 31430 is 31430.

3. What are the Factors of 31438?

Answer: Factors of 31438 are 1, 2, 11, 22, 1429, 2858, 15719, 31438. There are 8 integers that are factors of 31438. The greatest factor of 31438 is 31438.

4. How to Find the LCM of 31430 and 31438?

Answer:

Least Common Multiple of 31430 and 31438 = 494048170

Step 1: Find the prime factorization of 31430

31430 = 2 x 5 x 7 x 449

Step 2: Find the prime factorization of 31438

31438 = 2 x 11 x 1429

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

LCM = 494048170 = 2 x 5 x 7 x 11 x 449 x 1429

Step 4: Therefore, the least common multiple of 31430 and 31438 is 494048170.