Least Common Multiple of 5977 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 5977 and 5983 the smallest integer that is 35760391 that is divisible by both numbers.
Least Common Multiple (LCM) of 5977 and 5983 is 35760391.
LCM(5977,5983) = 35760391
LCM of 5977 and 5983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5977 and 5983 by Prime method
- Least Common Multiple of 5977 and 5983 with GCF Formula
LCM of 5977 and 5983 is 35760391
Least common multiple can be found by multiplying the highest exponent prime factors of 5977 and 5983. First we will calculate the prime factors of 5977 and 5983.
Prime Factorization of 5977
| 43 | 5977 |
| 139 | 139 |
| 1 |
Prime factors of 5977 are 43,139. Prime factorization of 5977 in exponential form is:
5977 = 431×1391
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 5977 and 5983.
LCM(5977,5983) = 311×431×1391×1931
LCM(5977,5983) = 35760391
Factors of 5977
List of positive integer factors of 5977 that divides 5977 without a remainder.
1, 43, 139, 5977
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1, 31, 193, 5983
Least Common Multiple of 5977 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 5977 and 5983, than apply into the LCM equation.
GCF(5977,5983) = 1
LCM(5977,5983) = ( 5977 × 5983) / 1
LCM(5977,5983) = 35760391 / 1
LCM(5977,5983) = 35760391
Properties of LCM 5977 and 5983
(i) The LCM of 5983 and 5977 is associative
LCM of 5977 and 5983 = LCM of 5983 and 5977
Related Least Common Multiples of 5977
Related Least Common Multiples of 5983
Frequently Asked Questions on LCM of 5977 and 5983
1. What is the LCM of 5977 and 5983?
Answer: LCM of 5977 and 5983 is 35760391.
2. What are the Factors of 5977?
Answer: Factors of 5977 are 1, 43, 139, 5977. There are 4 integers that are factors of 5977. The greatest factor of 5977 is 5977.
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 5977 and 5983?
Answer:
Least Common Multiple of 5977 and 5983 = 35760391
Step 1: Find the prime factorization of 5977
5977 = 43 x 139
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 = 35760391 = 31 x 43 x 139 x 193
Step 4: Therefore, the least common multiple of 5977 and 5983 is 35760391.