Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5588 and 5595 the smallest integer that is 31264860 that is divisible by both numbers.
Least Common Multiple (LCM) of 5588 and 5595 is 31264860.
LCM(5588,5595) = 31264860
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 5588 and 5595. First we will calculate the prime factors of 5588 and 5595.
Prime Factorization of 5588
2 | 5588 |
2 | 2794 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 5588 are 2, 11,127. Prime factorization of 5588 in exponential form is:
5588 = 22×111×1271
Prime Factorization of 5595
3 | 5595 |
5 | 1865 |
373 | 373 |
1 |
Prime factors of 5595 are 3, 5,373. Prime factorization of 5595 in exponential form is:
5595 = 31×51×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 5588 and 5595.
LCM(5588,5595) = 22×31×51×111×1271×3731
LCM(5588,5595) = 31264860
Factors of 5588
List of positive integer factors of 5588 that divides 5588 without a remainder.
1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588
Factors of 5595
List of positive integer factors of 5595 that divides 5595 without a remainder.
1, 3, 5, 15, 373, 1119, 1865, 5595
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5588 and 5595, than apply into the LCM equation.
GCF(5588,5595) = 1
LCM(5588,5595) = ( 5588 × 5595) / 1
LCM(5588,5595) = 31264860 / 1
LCM(5588,5595) = 31264860
(i) The LCM of 5595 and 5588 is associative
LCM of 5588 and 5595 = LCM of 5595 and 5588
1. What is the LCM of 5588 and 5595?
Answer: LCM of 5588 and 5595 is 31264860.
2. What are the Factors of 5588?
Answer: Factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588. There are 12 integers that are factors of 5588. The greatest factor of 5588 is 5588.
3. What are the Factors of 5595?
Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.
4. How to Find the LCM of 5588 and 5595?
Answer:
Least Common Multiple of 5588 and 5595 = 31264860
Step 1: Find the prime factorization of 5588
5588 = 2 x 2 x 11 x 127
Step 2: Find the prime factorization of 5595
5595 = 3 x 5 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31264860 = 2 x 2 x 3 x 5 x 11 x 127 x 373
Step 4: Therefore, the least common multiple of 5588 and 5595 is 31264860.