Least Common Multiple of 31434 and 31440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31434 and 31440 the smallest integer that is 164714160 that is divisible by both numbers.

Least Common Multiple (LCM) of 31434 and 31440 is 164714160.

LCM(31434,31440) = 164714160

LCM of 31434 and 31440

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

LCM of:
and

Least Common Multiple of 31434 and 31440

LCM of 31434 and 31440 is 164714160

Least common multiple can be found by multiplying the highest exponent prime factors of 31434 and 31440. First we will calculate the prime factors of 31434 and 31440.

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

Prime Factorization of 31440


2 31440
2 15720
2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 31440 are 2, 3, 5,131. Prime factorization of 31440 in exponential form is:

31440 = 24×31×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 31434 and 31440.

LCM(31434,31440) = 24×31×51×132×311×1311
LCM(31434,31440) = 164714160

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

Factors of 31440

List of positive integer factors of 31440 that divides 31440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720, 31440

Least Common Multiple of 31434 and 31440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31434 and 31440, than apply into the LCM equation.

GCF(31434,31440) = 6
LCM(31434,31440) = ( 31434 × 31440) / 6
LCM(31434,31440) = 988284960 / 6
LCM(31434,31440) = 164714160

Properties of LCM 31434 and 31440

(i) The LCM of 31440 and 31434 is associative

LCM of 31434 and 31440 = LCM of 31440 and 31434

Related Least Common Multiples of 31434

Related Least Common Multiples of 31440

Frequently Asked Questions on LCM of 31434 and 31440

1. What is the LCM of 31434 and 31440?

Answer: LCM of 31434 and 31440 is 164714160.

2. 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.

3. What are the Factors of 31440?

Answer: Factors of 31440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720, 31440. There are 40 integers that are factors of 31440. The greatest factor of 31440 is 31440.

4. How to Find the LCM of 31434 and 31440?

Answer:

Least Common Multiple of 31434 and 31440 = 164714160

Step 1: Find the prime factorization of 31434

31434 = 2 x 3 x 13 x 13 x 31

Step 2: Find the prime factorization of 31440

31440 = 2 x 2 x 2 x 2 x 3 x 5 x 131

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

LCM = 164714160 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 13 x 31 x 131

Step 4: Therefore, the least common multiple of 31434 and 31440 is 164714160.