Least Common Multiple of 31426 and 31434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31426 and 31434 the smallest integer that is 493922442 that is divisible by both numbers.

Least Common Multiple (LCM) of 31426 and 31434 is 493922442.

LCM(31426,31434) = 493922442

LCM of 31426 and 31434

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

LCM of:
and

Least Common Multiple of 31426 and 31434

LCM of 31426 and 31434 is 493922442

Least common multiple can be found by multiplying the highest exponent prime factors of 31426 and 31434. First we will calculate the prime factors of 31426 and 31434.

Prime Factorization of 31426


2 31426
19 15713
827 827
1

Prime factors of 31426 are 2, 19,827. Prime factorization of 31426 in exponential form is:

31426 = 21×191×8271

Prime Factorization of 31434


2 31434
3 15717
13 5239
13 403
31 31
1

Prime factors of 31434 are 2, 3, 13,31. Prime factorization of 31434 in exponential form is:

31434 = 21×31×132×311

Now multiplying the highest exponent prime factors to calculate the LCM of 31426 and 31434.

LCM(31426,31434) = 21×31×132×191×311×8271
LCM(31426,31434) = 493922442

Factors of 31426

List of positive integer factors of 31426 that divides 31426 without a remainder.

1, 2, 19, 38, 827, 1654, 15713, 31426

Factors of 31434

List of positive integer factors of 31434 that divides 31434 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717, 31434

Least Common Multiple of 31426 and 31434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31426 and 31434, than apply into the LCM equation.

GCF(31426,31434) = 2
LCM(31426,31434) = ( 31426 × 31434) / 2
LCM(31426,31434) = 987844884 / 2
LCM(31426,31434) = 493922442

Properties of LCM 31426 and 31434

(i) The LCM of 31434 and 31426 is associative

LCM of 31426 and 31434 = LCM of 31434 and 31426

Related Least Common Multiples of 31426

Related Least Common Multiples of 31434

Frequently Asked Questions on LCM of 31426 and 31434

1. What is the LCM of 31426 and 31434?

Answer: LCM of 31426 and 31434 is 493922442.

2. What are the Factors of 31426?

Answer: Factors of 31426 are 1, 2, 19, 38, 827, 1654, 15713, 31426. There are 8 integers that are factors of 31426. The greatest factor of 31426 is 31426.

3. What are the Factors of 31434?

Answer: Factors of 31434 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 169, 186, 338, 403, 507, 806, 1014, 1209, 2418, 5239, 10478, 15717, 31434. There are 24 integers that are factors of 31434. The greatest factor of 31434 is 31434.

4. How to Find the LCM of 31426 and 31434?

Answer:

Least Common Multiple of 31426 and 31434 = 493922442

Step 1: Find the prime factorization of 31426

31426 = 2 x 19 x 827

Step 2: Find the prime factorization of 31434

31434 = 2 x 3 x 13 x 13 x 31

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

LCM = 493922442 = 2 x 3 x 13 x 13 x 19 x 31 x 827

Step 4: Therefore, the least common multiple of 31426 and 31434 is 493922442.