Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5580 and 5586 the smallest integer that is 5194980 that is divisible by both numbers.
Least Common Multiple (LCM) of 5580 and 5586 is 5194980.
LCM(5580,5586) = 5194980
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 5580 and 5586. First we will calculate the prime factors of 5580 and 5586.
Prime Factorization of 5580
2 | 5580 |
2 | 2790 |
3 | 1395 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 5580 are 2, 3, 5,31. Prime factorization of 5580 in exponential form is:
5580 = 22×32×51×311
Prime Factorization of 5586
2 | 5586 |
3 | 2793 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 5586 are 2, 3, 7,19. Prime factorization of 5586 in exponential form is:
5586 = 21×31×72×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5580 and 5586.
LCM(5580,5586) = 22×32×51×72×191×311
LCM(5580,5586) = 5194980
Factors of 5580
List of positive integer factors of 5580 that divides 5580 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580
Factors of 5586
List of positive integer factors of 5586 that divides 5586 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5580 and 5586, than apply into the LCM equation.
GCF(5580,5586) = 6
LCM(5580,5586) = ( 5580 × 5586) / 6
LCM(5580,5586) = 31169880 / 6
LCM(5580,5586) = 5194980
(i) The LCM of 5586 and 5580 is associative
LCM of 5580 and 5586 = LCM of 5586 and 5580
1. What is the LCM of 5580 and 5586?
Answer: LCM of 5580 and 5586 is 5194980.
2. What are the Factors of 5580?
Answer: Factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580. There are 36 integers that are factors of 5580. The greatest factor of 5580 is 5580.
3. What are the Factors of 5586?
Answer: Factors of 5586 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 49, 57, 98, 114, 133, 147, 266, 294, 399, 798, 931, 1862, 2793, 5586. There are 24 integers that are factors of 5586. The greatest factor of 5586 is 5586.
4. How to Find the LCM of 5580 and 5586?
Answer:
Least Common Multiple of 5580 and 5586 = 5194980
Step 1: Find the prime factorization of 5580
5580 = 2 x 2 x 3 x 3 x 5 x 31
Step 2: Find the prime factorization of 5586
5586 = 2 x 3 x 7 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5194980 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 31
Step 4: Therefore, the least common multiple of 5580 and 5586 is 5194980.