Least Common Multiple of 7991 and 7998
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7991 and 7998 the smallest integer that is 63912018 that is divisible by both numbers.
Least Common Multiple (LCM) of 7991 and 7998 is 63912018.
LCM(7991,7998) = 63912018
LCM of 7991 and 7998
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7991 and 7998 by Prime method
- Least Common Multiple of 7991 and 7998 with GCF Formula
LCM of 7991 and 7998 is 63912018
Least common multiple can be found by multiplying the highest exponent prime factors of 7991 and 7998. First we will calculate the prime factors of 7991 and 7998.
Prime Factorization of 7991
| 61 | 7991 |
| 131 | 131 |
| 1 |
Prime factors of 7991 are 61,131. Prime factorization of 7991 in exponential form is:
7991 = 611×1311
Prime Factorization of 7998
| 2 | 7998 |
| 3 | 3999 |
| 31 | 1333 |
| 43 | 43 |
| 1 |
Prime factors of 7998 are 2, 3, 31,43. Prime factorization of 7998 in exponential form is:
7998 = 21×31×311×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7991 and 7998.
LCM(7991,7998) = 21×31×311×431×611×1311
LCM(7991,7998) = 63912018
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1, 61, 131, 7991
Factors of 7998
List of positive integer factors of 7998 that divides 7998 without a remainder.
1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
Least Common Multiple of 7991 and 7998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7991 and 7998, than apply into the LCM equation.
GCF(7991,7998) = 1
LCM(7991,7998) = ( 7991 × 7998) / 1
LCM(7991,7998) = 63912018 / 1
LCM(7991,7998) = 63912018
Properties of LCM 7991 and 7998
(i) The LCM of 7998 and 7991 is associative
LCM of 7991 and 7998 = LCM of 7998 and 7991
Related Least Common Multiples of 7991
Related Least Common Multiples of 7998
Frequently Asked Questions on LCM of 7991 and 7998
1. What is the LCM of 7991 and 7998?
Answer: LCM of 7991 and 7998 is 63912018.
2. What are the Factors of 7991?
Answer: Factors of 7991 are 1, 61, 131, 7991. There are 4 integers that are factors of 7991. The greatest factor of 7991 is 7991.
3. What are the Factors of 7998?
Answer: Factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. There are 16 integers that are factors of 7998. The greatest factor of 7998 is 7998.
4. How to Find the LCM of 7991 and 7998?
Answer:
Least Common Multiple of 7991 and 7998 = 63912018
Step 1: Find the prime factorization of 7991
7991 = 61 x 131
Step 2: Find the prime factorization of 7998
7998 = 2 x 3 x 31 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63912018 = 2 x 3 x 31 x 43 x 61 x 131
Step 4: Therefore, the least common multiple of 7991 and 7998 is 63912018.