Least Common Multiple of 7985 and 7991
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7985 and 7991 the smallest integer that is 63808135 that is divisible by both numbers.
Least Common Multiple (LCM) of 7985 and 7991 is 63808135.
LCM(7985,7991) = 63808135
LCM of 7985 and 7991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7985 and 7991 by Prime method
- Least Common Multiple of 7985 and 7991 with GCF Formula
LCM of 7985 and 7991 is 63808135
Least common multiple can be found by multiplying the highest exponent prime factors of 7985 and 7991. First we will calculate the prime factors of 7985 and 7991.
Prime Factorization of 7985
| 5 | 7985 |
| 1597 | 1597 |
| 1 |
Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:
7985 = 51×15971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7985 and 7991.
LCM(7985,7991) = 51×611×1311×15971
LCM(7985,7991) = 63808135
Factors of 7985
List of positive integer factors of 7985 that divides 7985 without a remainder.
1, 5, 1597, 7985
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1, 61, 131, 7991
Least Common Multiple of 7985 and 7991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7985 and 7991, than apply into the LCM equation.
GCF(7985,7991) = 1
LCM(7985,7991) = ( 7985 × 7991) / 1
LCM(7985,7991) = 63808135 / 1
LCM(7985,7991) = 63808135
Properties of LCM 7985 and 7991
(i) The LCM of 7991 and 7985 is associative
LCM of 7985 and 7991 = LCM of 7991 and 7985
Related Least Common Multiples of 7985
Related Least Common Multiples of 7991
Frequently Asked Questions on LCM of 7985 and 7991
1. What is the LCM of 7985 and 7991?
Answer: LCM of 7985 and 7991 is 63808135.
2. What are the Factors of 7985?
Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.
3. 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.
4. How to Find the LCM of 7985 and 7991?
Answer:
Least Common Multiple of 7985 and 7991 = 63808135
Step 1: Find the prime factorization of 7985
7985 = 5 x 1597
Step 2: Find the prime factorization of 7991
7991 = 61 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63808135 = 5 x 61 x 131 x 1597
Step 4: Therefore, the least common multiple of 7985 and 7991 is 63808135.
