Least Common Multiple of 7983 and 7987
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7983 and 7987 the smallest integer that is 63760221 that is divisible by both numbers.
Least Common Multiple (LCM) of 7983 and 7987 is 63760221.
LCM(7983,7987) = 63760221
LCM of 7983 and 7987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7983 and 7987 by Prime method
- Least Common Multiple of 7983 and 7987 with GCF Formula
LCM of 7983 and 7987 is 63760221
Least common multiple can be found by multiplying the highest exponent prime factors of 7983 and 7987. First we will calculate the prime factors of 7983 and 7987.
Prime Factorization of 7983
| 3 | 7983 |
| 3 | 2661 |
| 887 | 887 |
| 1 |
Prime factors of 7983 are 3,887. Prime factorization of 7983 in exponential form is:
7983 = 32×8871
Prime Factorization of 7987
| 7 | 7987 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 7987 are 7,163. Prime factorization of 7987 in exponential form is:
7987 = 72×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7983 and 7987.
LCM(7983,7987) = 32×72×1631×8871
LCM(7983,7987) = 63760221
Factors of 7983
List of positive integer factors of 7983 that divides 7983 without a remainder.
1, 3, 9, 887, 2661, 7983
Factors of 7987
List of positive integer factors of 7987 that divides 7987 without a remainder.
1, 7, 49, 163, 1141, 7987
Least Common Multiple of 7983 and 7987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7983 and 7987, than apply into the LCM equation.
GCF(7983,7987) = 1
LCM(7983,7987) = ( 7983 × 7987) / 1
LCM(7983,7987) = 63760221 / 1
LCM(7983,7987) = 63760221
Properties of LCM 7983 and 7987
(i) The LCM of 7987 and 7983 is associative
LCM of 7983 and 7987 = LCM of 7987 and 7983
Related Least Common Multiples of 7983
Related Least Common Multiples of 7987
Frequently Asked Questions on LCM of 7983 and 7987
1. What is the LCM of 7983 and 7987?
Answer: LCM of 7983 and 7987 is 63760221.
2. What are the Factors of 7983?
Answer: Factors of 7983 are 1, 3, 9, 887, 2661, 7983. There are 6 integers that are factors of 7983. The greatest factor of 7983 is 7983.
3. What are the Factors of 7987?
Answer: Factors of 7987 are 1, 7, 49, 163, 1141, 7987. There are 6 integers that are factors of 7987. The greatest factor of 7987 is 7987.
4. How to Find the LCM of 7983 and 7987?
Answer:
Least Common Multiple of 7983 and 7987 = 63760221
Step 1: Find the prime factorization of 7983
7983 = 3 x 3 x 887
Step 2: Find the prime factorization of 7987
7987 = 7 x 7 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63760221 = 3 x 3 x 7 x 7 x 163 x 887
Step 4: Therefore, the least common multiple of 7983 and 7987 is 63760221.