Least Common Multiple of 7998 and 8003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7998 and 8003 the smallest integer that is 64007994 that is divisible by both numbers.
Least Common Multiple (LCM) of 7998 and 8003 is 64007994.
LCM(7998,8003) = 64007994
LCM of 7998 and 8003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7998 and 8003 by Prime method
- Least Common Multiple of 7998 and 8003 with GCF Formula
LCM of 7998 and 8003 is 64007994
Least common multiple can be found by multiplying the highest exponent prime factors of 7998 and 8003. First we will calculate the prime factors of 7998 and 8003.
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
Prime Factorization of 8003
| 53 | 8003 |
| 151 | 151 |
| 1 |
Prime factors of 8003 are 53,151. Prime factorization of 8003 in exponential form is:
8003 = 531×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 7998 and 8003.
LCM(7998,8003) = 21×31×311×431×531×1511
LCM(7998,8003) = 64007994
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
Factors of 8003
List of positive integer factors of 8003 that divides 8003 without a remainder.
1, 53, 151, 8003
Least Common Multiple of 7998 and 8003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7998 and 8003, than apply into the LCM equation.
GCF(7998,8003) = 1
LCM(7998,8003) = ( 7998 × 8003) / 1
LCM(7998,8003) = 64007994 / 1
LCM(7998,8003) = 64007994
Properties of LCM 7998 and 8003
(i) The LCM of 8003 and 7998 is associative
LCM of 7998 and 8003 = LCM of 8003 and 7998
Related Least Common Multiples of 7998
Related Least Common Multiples of 8003
Frequently Asked Questions on LCM of 7998 and 8003
1. What is the LCM of 7998 and 8003?
Answer: LCM of 7998 and 8003 is 64007994.
2. 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.
3. What are the Factors of 8003?
Answer: Factors of 8003 are 1, 53, 151, 8003. There are 4 integers that are factors of 8003. The greatest factor of 8003 is 8003.
4. How to Find the LCM of 7998 and 8003?
Answer:
Least Common Multiple of 7998 and 8003 = 64007994
Step 1: Find the prime factorization of 7998
7998 = 2 x 3 x 31 x 43
Step 2: Find the prime factorization of 8003
8003 = 53 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64007994 = 2 x 3 x 31 x 43 x 53 x 151
Step 4: Therefore, the least common multiple of 7998 and 8003 is 64007994.