Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5886 and 5890 the smallest integer that is 17334270 that is divisible by both numbers.
Least Common Multiple (LCM) of 5886 and 5890 is 17334270.
LCM(5886,5890) = 17334270
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 5886 and 5890. First we will calculate the prime factors of 5886 and 5890.
Prime Factorization of 5886
2 | 5886 |
3 | 2943 |
3 | 981 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 5886 are 2, 3,109. Prime factorization of 5886 in exponential form is:
5886 = 21×33×1091
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 5886 and 5890.
LCM(5886,5890) = 21×33×51×191×311×1091
LCM(5886,5890) = 17334270
Factors of 5886
List of positive integer factors of 5886 that divides 5886 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5886 and 5890, than apply into the LCM equation.
GCF(5886,5890) = 2
LCM(5886,5890) = ( 5886 × 5890) / 2
LCM(5886,5890) = 34668540 / 2
LCM(5886,5890) = 17334270
(i) The LCM of 5890 and 5886 is associative
LCM of 5886 and 5890 = LCM of 5890 and 5886
1. What is the LCM of 5886 and 5890?
Answer: LCM of 5886 and 5890 is 17334270.
2. What are the Factors of 5886?
Answer: Factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886. There are 16 integers that are factors of 5886. The greatest factor of 5886 is 5886.
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 5886 and 5890?
Answer:
Least Common Multiple of 5886 and 5890 = 17334270
Step 1: Find the prime factorization of 5886
5886 = 2 x 3 x 3 x 3 x 109
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 = 17334270 = 2 x 3 x 3 x 3 x 5 x 19 x 31 x 109
Step 4: Therefore, the least common multiple of 5886 and 5890 is 17334270.