Least Common Multiple of 9994 and 9999
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9994 and 9999 the smallest integer that is 99930006 that is divisible by both numbers.
Least Common Multiple (LCM) of 9994 and 9999 is 99930006.
LCM(9994,9999) = 99930006
LCM of 9994 and 9999
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9994 and 9999 by Prime method
- Least Common Multiple of 9994 and 9999 with GCF Formula
LCM of 9994 and 9999 is 99930006
Least common multiple can be found by multiplying the highest exponent prime factors of 9994 and 9999. First we will calculate the prime factors of 9994 and 9999.
Prime Factorization of 9994
| 2 | 9994 |
| 19 | 4997 |
| 263 | 263 |
| 1 |
Prime factors of 9994 are 2, 19,263. Prime factorization of 9994 in exponential form is:
9994 = 21×191×2631
Prime Factorization of 9999
| 3 | 9999 |
| 3 | 3333 |
| 11 | 1111 |
| 101 | 101 |
| 1 |
Prime factors of 9999 are 3, 11,101. Prime factorization of 9999 in exponential form is:
9999 = 32×111×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 9994 and 9999.
LCM(9994,9999) = 21×32×111×191×1011×2631
LCM(9994,9999) = 99930006
Factors of 9994
List of positive integer factors of 9994 that divides 9994 without a remainder.
1, 2, 19, 38, 263, 526, 4997, 9994
Factors of 9999
List of positive integer factors of 9999 that divides 9999 without a remainder.
1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
Least Common Multiple of 9994 and 9999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9994 and 9999, than apply into the LCM equation.
GCF(9994,9999) = 1
LCM(9994,9999) = ( 9994 × 9999) / 1
LCM(9994,9999) = 99930006 / 1
LCM(9994,9999) = 99930006
Properties of LCM 9994 and 9999
(i) The LCM of 9999 and 9994 is associative
LCM of 9994 and 9999 = LCM of 9999 and 9994
Related Least Common Multiples of 9994
Related Least Common Multiples of 9999
Frequently Asked Questions on LCM of 9994 and 9999
1. What is the LCM of 9994 and 9999?
Answer: LCM of 9994 and 9999 is 99930006.
2. What are the Factors of 9994?
Answer: Factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994. There are 8 integers that are factors of 9994. The greatest factor of 9994 is 9994.
3. What are the Factors of 9999?
Answer: Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. There are 12 integers that are factors of 9999. The greatest factor of 9999 is 9999.
4. How to Find the LCM of 9994 and 9999?
Answer:
Least Common Multiple of 9994 and 9999 = 99930006
Step 1: Find the prime factorization of 9994
9994 = 2 x 19 x 263
Step 2: Find the prime factorization of 9999
9999 = 3 x 3 x 11 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99930006 = 2 x 3 x 3 x 11 x 19 x 101 x 263
Step 4: Therefore, the least common multiple of 9994 and 9999 is 99930006.