Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5981 and 5984 the smallest integer that is 35790304 that is divisible by both numbers.
Least Common Multiple (LCM) of 5981 and 5984 is 35790304.
LCM(5981,5984) = 35790304
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 5981 and 5984. First we will calculate the prime factors of 5981 and 5984.
Prime Factorization of 5981
5981 | 5981 |
1 |
Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:
5981 = 59811
Prime Factorization of 5984
2 | 5984 |
2 | 2992 |
2 | 1496 |
2 | 748 |
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 5984 are 2, 11,17. Prime factorization of 5984 in exponential form is:
5984 = 25×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 5981 and 5984.
LCM(5981,5984) = 25×111×171×59811
LCM(5981,5984) = 35790304
Factors of 5981
List of positive integer factors of 5981 that divides 5981 without a remainder.
1, 5981
Factors of 5984
List of positive integer factors of 5984 that divides 5984 without a remainder.
1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5981 and 5984, than apply into the LCM equation.
GCF(5981,5984) = 1
LCM(5981,5984) = ( 5981 × 5984) / 1
LCM(5981,5984) = 35790304 / 1
LCM(5981,5984) = 35790304
(i) The LCM of 5984 and 5981 is associative
LCM of 5981 and 5984 = LCM of 5984 and 5981
1. What is the LCM of 5981 and 5984?
Answer: LCM of 5981 and 5984 is 35790304.
2. What are the Factors of 5981?
Answer: Factors of 5981 are 1, 5981. There are 2 integers that are factors of 5981. The greatest factor of 5981 is 5981.
3. What are the Factors of 5984?
Answer: Factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. There are 24 integers that are factors of 5984. The greatest factor of 5984 is 5984.
4. How to Find the LCM of 5981 and 5984?
Answer:
Least Common Multiple of 5981 and 5984 = 35790304
Step 1: Find the prime factorization of 5981
5981 = 5981
Step 2: Find the prime factorization of 5984
5984 = 2 x 2 x 2 x 2 x 2 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35790304 = 2 x 2 x 2 x 2 x 2 x 11 x 17 x 5981
Step 4: Therefore, the least common multiple of 5981 and 5984 is 35790304.