Least Common Multiple of 5883 and 5890
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5883 and 5890 the smallest integer that is 34650870 that is divisible by both numbers.
Least Common Multiple (LCM) of 5883 and 5890 is 34650870.
LCM(5883,5890) = 34650870
LCM of 5883 and 5890
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5883 and 5890 by Prime method
- Least Common Multiple of 5883 and 5890 with GCF Formula
LCM of 5883 and 5890 is 34650870
Least common multiple can be found by multiplying the highest exponent prime factors of 5883 and 5890. First we will calculate the prime factors of 5883 and 5890.
Prime Factorization of 5883
| 3 | 5883 |
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 5883 are 3, 37,53. Prime factorization of 5883 in exponential form is:
5883 = 31×371×531
Prime Factorization of 5890
| 2 | 5890 |
| 5 | 2945 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 5890 are 2, 5, 19,31. Prime factorization of 5890 in exponential form is:
5890 = 21×51×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5883 and 5890.
LCM(5883,5890) = 21×31×51×191×311×371×531
LCM(5883,5890) = 34650870
Factors of 5883
List of positive integer factors of 5883 that divides 5883 without a remainder.
1, 3, 37, 53, 111, 159, 1961, 5883
Factors of 5890
List of positive integer factors of 5890 that divides 5890 without a remainder.
1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890
Least Common Multiple of 5883 and 5890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5883 and 5890, than apply into the LCM equation.
GCF(5883,5890) = 1
LCM(5883,5890) = ( 5883 × 5890) / 1
LCM(5883,5890) = 34650870 / 1
LCM(5883,5890) = 34650870
Properties of LCM 5883 and 5890
(i) The LCM of 5890 and 5883 is associative
LCM of 5883 and 5890 = LCM of 5890 and 5883
Related Least Common Multiples of 5883
Related Least Common Multiples of 5890
Frequently Asked Questions on LCM of 5883 and 5890
1. What is the LCM of 5883 and 5890?
Answer: LCM of 5883 and 5890 is 34650870.
2. What are the Factors of 5883?
Answer: Factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883. There are 8 integers that are factors of 5883. The greatest factor of 5883 is 5883.
3. What are the Factors of 5890?
Answer: Factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890. There are 16 integers that are factors of 5890. The greatest factor of 5890 is 5890.
4. How to Find the LCM of 5883 and 5890?
Answer:
Least Common Multiple of 5883 and 5890 = 34650870
Step 1: Find the prime factorization of 5883
5883 = 3 x 37 x 53
Step 2: Find the prime factorization of 5890
5890 = 2 x 5 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34650870 = 2 x 3 x 5 x 19 x 31 x 37 x 53
Step 4: Therefore, the least common multiple of 5883 and 5890 is 34650870.