Least Common Multiple of 31456 and 31460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31456 and 31460 the smallest integer that is 247401440 that is divisible by both numbers.

Least Common Multiple (LCM) of 31456 and 31460 is 247401440.

LCM(31456,31460) = 247401440

LCM of 31456 and 31460

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

LCM of:
and

Least Common Multiple of 31456 and 31460

LCM of 31456 and 31460 is 247401440

Least common multiple can be found by multiplying the highest exponent prime factors of 31456 and 31460. First we will calculate the prime factors of 31456 and 31460.

Prime Factorization of 31456


2 31456
2 15728
2 7864
2 3932
2 1966
983 983
1

Prime factors of 31456 are 2,983. Prime factorization of 31456 in exponential form is:

31456 = 25×9831

Prime Factorization of 31460


2 31460
2 15730
5 7865
11 1573
11 143
13 13
1

Prime factors of 31460 are 2, 5, 11,13. Prime factorization of 31460 in exponential form is:

31460 = 22×51×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 31456 and 31460.

LCM(31456,31460) = 25×51×112×131×9831
LCM(31456,31460) = 247401440

Factors of 31456

List of positive integer factors of 31456 that divides 31456 without a remainder.

1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728, 31456

Factors of 31460

List of positive integer factors of 31460 that divides 31460 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 121, 130, 143, 220, 242, 260, 286, 484, 572, 605, 715, 1210, 1430, 1573, 2420, 2860, 3146, 6292, 7865, 15730, 31460

Least Common Multiple of 31456 and 31460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31456 and 31460, than apply into the LCM equation.

GCF(31456,31460) = 4
LCM(31456,31460) = ( 31456 × 31460) / 4
LCM(31456,31460) = 989605760 / 4
LCM(31456,31460) = 247401440

Properties of LCM 31456 and 31460

(i) The LCM of 31460 and 31456 is associative

LCM of 31456 and 31460 = LCM of 31460 and 31456

Related Least Common Multiples of 31456

Related Least Common Multiples of 31460

Frequently Asked Questions on LCM of 31456 and 31460

1. What is the LCM of 31456 and 31460?

Answer: LCM of 31456 and 31460 is 247401440.

2. What are the Factors of 31456?

Answer: Factors of 31456 are 1, 2, 4, 8, 16, 32, 983, 1966, 3932, 7864, 15728, 31456. There are 12 integers that are factors of 31456. The greatest factor of 31456 is 31456.

3. What are the Factors of 31460?

Answer: Factors of 31460 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 121, 130, 143, 220, 242, 260, 286, 484, 572, 605, 715, 1210, 1430, 1573, 2420, 2860, 3146, 6292, 7865, 15730, 31460. There are 36 integers that are factors of 31460. The greatest factor of 31460 is 31460.

4. How to Find the LCM of 31456 and 31460?

Answer:

Least Common Multiple of 31456 and 31460 = 247401440

Step 1: Find the prime factorization of 31456

31456 = 2 x 2 x 2 x 2 x 2 x 983

Step 2: Find the prime factorization of 31460

31460 = 2 x 2 x 5 x 11 x 11 x 13

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

LCM = 247401440 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 11 x 13 x 983

Step 4: Therefore, the least common multiple of 31456 and 31460 is 247401440.