Least Common Multiple of 5979 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 5979 and 5983 the smallest integer that is 35772357 that is divisible by both numbers.
Least Common Multiple (LCM) of 5979 and 5983 is 35772357.
LCM(5979,5983) = 35772357
LCM of 5979 and 5983
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5979 and 5983 by Prime method
- Least Common Multiple of 5979 and 5983 with GCF Formula
LCM of 5979 and 5983 is 35772357
Least common multiple can be found by multiplying the highest exponent prime factors of 5979 and 5983. First we will calculate the prime factors of 5979 and 5983.
Prime Factorization of 5979
| 3 | 5979 |
| 1993 | 1993 |
| 1 |
Prime factors of 5979 are 3,1993. Prime factorization of 5979 in exponential form is:
5979 = 31×19931
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 5979 and 5983.
LCM(5979,5983) = 31×311×1931×19931
LCM(5979,5983) = 35772357
Factors of 5979
List of positive integer factors of 5979 that divides 5979 without a remainder.
1, 3, 1993, 5979
Factors of 5983
List of positive integer factors of 5983 that divides 5983 without a remainder.
1, 31, 193, 5983
Least Common Multiple of 5979 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 5979 and 5983, than apply into the LCM equation.
GCF(5979,5983) = 1
LCM(5979,5983) = ( 5979 × 5983) / 1
LCM(5979,5983) = 35772357 / 1
LCM(5979,5983) = 35772357
Properties of LCM 5979 and 5983
(i) The LCM of 5983 and 5979 is associative
LCM of 5979 and 5983 = LCM of 5983 and 5979
Related Least Common Multiples of 5979
Related Least Common Multiples of 5983
Frequently Asked Questions on LCM of 5979 and 5983
1. What is the LCM of 5979 and 5983?
Answer: LCM of 5979 and 5983 is 35772357.
2. What are the Factors of 5979?
Answer: Factors of 5979 are 1, 3, 1993, 5979. There are 4 integers that are factors of 5979. The greatest factor of 5979 is 5979.
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 5979 and 5983?
Answer:
Least Common Multiple of 5979 and 5983 = 35772357
Step 1: Find the prime factorization of 5979
5979 = 3 x 1993
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 = 35772357 = 3 x 31 x 193 x 1993
Step 4: Therefore, the least common multiple of 5979 and 5983 is 35772357.