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 10002 the smallest integer that is 49979994 that is divisible by both numbers.
Least Common Multiple (LCM) of 9994 and 10002 is 49979994.
LCM(9994,10002) = 49979994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9994 and 10002. First we will calculate the prime factors of 9994 and 10002.
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 10002
2 | 10002 |
3 | 5001 |
1667 | 1667 |
1 |
Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:
10002 = 21×31×16671
Now multiplying the highest exponent prime factors to calculate the LCM of 9994 and 10002.
LCM(9994,10002) = 21×31×191×2631×16671
LCM(9994,10002) = 49979994
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 10002
List of positive integer factors of 10002 that divides 10002 without a remainder.
1, 2, 3, 6, 1667, 3334, 5001, 10002
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9994 and 10002, than apply into the LCM equation.
GCF(9994,10002) = 2
LCM(9994,10002) = ( 9994 × 10002) / 2
LCM(9994,10002) = 99959988 / 2
LCM(9994,10002) = 49979994
(i) The LCM of 10002 and 9994 is associative
LCM of 9994 and 10002 = LCM of 10002 and 9994
1. What is the LCM of 9994 and 10002?
Answer: LCM of 9994 and 10002 is 49979994.
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 10002?
Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.
4. How to Find the LCM of 9994 and 10002?
Answer:
Least Common Multiple of 9994 and 10002 = 49979994
Step 1: Find the prime factorization of 9994
9994 = 2 x 19 x 263
Step 2: Find the prime factorization of 10002
10002 = 2 x 3 x 1667
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49979994 = 2 x 3 x 19 x 263 x 1667
Step 4: Therefore, the least common multiple of 9994 and 10002 is 49979994.