Least Common Multiple of 5978 and 5983
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5978 and 5983 the smallest integer that is 35766374 that is divisible by both numbers.
Least Common Multiple (LCM) of 5978 and 5983 is 35766374.
LCM(5978,5983) = 35766374
LCM of 5978 and 5983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5978 and 5983 by Prime method
- Least Common Multiple of 5978 and 5983 with GCF Formula
LCM of 5978 and 5983 is 35766374
Least common multiple can be found by multiplying the highest exponent prime factors of 5978 and 5983. First we will calculate the prime factors of 5978 and 5983.
Prime Factorization of 5978
| 2 | 5978 |
| 7 | 2989 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 5978 are 2, 7,61. Prime factorization of 5978 in exponential form is:
5978 = 21×72×611
Prime Factorization of 5983
| 31 | 5983 |
| 193 | 193 |
| 1 |
Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:
5983 = 311×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 5978 and 5983.
LCM(5978,5983) = 21×72×311×611×1931
LCM(5978,5983) = 35766374
Factors of 5978
List of positive integer factors of 5978 that divides 5978 without a remainder.
1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1, 31, 193, 5983
Least Common Multiple of 5978 and 5983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5978 and 5983, than apply into the LCM equation.
GCF(5978,5983) = 1
LCM(5978,5983) = ( 5978 × 5983) / 1
LCM(5978,5983) = 35766374 / 1
LCM(5978,5983) = 35766374
Properties of LCM 5978 and 5983
(i) The LCM of 5983 and 5978 is associative
LCM of 5978 and 5983 = LCM of 5983 and 5978
Related Least Common Multiples of 5978
Related Least Common Multiples of 5983
Frequently Asked Questions on LCM of 5978 and 5983
1. What is the LCM of 5978 and 5983?
Answer: LCM of 5978 and 5983 is 35766374.
2. What are the Factors of 5978?
Answer: Factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978. There are 12 integers that are factors of 5978. The greatest factor of 5978 is 5978.
3. What are the Factors of 5983?
Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.
4. How to Find the LCM of 5978 and 5983?
Answer:
Least Common Multiple of 5978 and 5983 = 35766374
Step 1: Find the prime factorization of 5978
5978 = 2 x 7 x 7 x 61
Step 2: Find the prime factorization of 5983
5983 = 31 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35766374 = 2 x 7 x 7 x 31 x 61 x 193
Step 4: Therefore, the least common multiple of 5978 and 5983 is 35766374.