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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 31484 and 31480 is associative
LCM of 31480 and 31484 = LCM of 31484 and 31480
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.