Least Common Multiple of 31480 and 31484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 31480 and 31484 the smallest integer that is 247779080 that is divisible by both numbers.

Least Common Multiple (LCM) of 31480 and 31484 is 247779080.

LCM(31480,31484) = 247779080

LCM of 31480 and 31484

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

LCM of:
and

Least Common Multiple of 31480 and 31484

LCM of 31480 and 31484 is 247779080

Least common multiple can be found by multiplying the highest exponent prime factors of 31480 and 31484. First we will calculate the prime factors of 31480 and 31484.

Prime Factorization of 31480


2 31480
2 15740
2 7870
5 3935
787 787
1

Prime factors of 31480 are 2, 5,787. Prime factorization of 31480 in exponential form is:

31480 = 23×51×7871

Prime Factorization of 31484


2 31484
2 15742
17 7871
463 463
1

Prime factors of 31484 are 2, 17,463. Prime factorization of 31484 in exponential form is:

31484 = 22×171×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 31480 and 31484.

LCM(31480,31484) = 23×51×171×4631×7871
LCM(31480,31484) = 247779080

Factors of 31480

List of positive integer factors of 31480 that divides 31480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740, 31480

Factors of 31484

List of positive integer factors of 31484 that divides 31484 without a remainder.

1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742, 31484

Least Common Multiple of 31480 and 31484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31480 and 31484, than apply into the LCM equation.

GCF(31480,31484) = 4
LCM(31480,31484) = ( 31480 × 31484) / 4
LCM(31480,31484) = 991116320 / 4
LCM(31480,31484) = 247779080

Properties of LCM 31480 and 31484

(i) The LCM of 31484 and 31480 is associative

LCM of 31480 and 31484 = LCM of 31484 and 31480

Frequently Asked Questions on LCM of 31480 and 31484

1. What is the LCM of 31480 and 31484?

Answer: LCM of 31480 and 31484 is 247779080.

2. What are the Factors of 31480?

Answer: Factors of 31480 are 1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740, 31480. There are 16 integers that are factors of 31480. The greatest factor of 31480 is 31480.

3. What are the Factors of 31484?

Answer: Factors of 31484 are 1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742, 31484. There are 12 integers that are factors of 31484. The greatest factor of 31484 is 31484.

4. How to Find the LCM of 31480 and 31484?

Answer:

Least Common Multiple of 31480 and 31484 = 247779080

Step 1: Find the prime factorization of 31480

31480 = 2 x 2 x 2 x 5 x 787

Step 2: Find the prime factorization of 31484

31484 = 2 x 2 x 17 x 463

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

LCM = 247779080 = 2 x 2 x 2 x 5 x 17 x 463 x 787

Step 4: Therefore, the least common multiple of 31480 and 31484 is 247779080.