Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9879 and 9884 the smallest integer that is 97644036 that is divisible by both numbers.
Least Common Multiple (LCM) of 9879 and 9884 is 97644036.
LCM(9879,9884) = 97644036
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 9879 and 9884. First we will calculate the prime factors of 9879 and 9884.
Prime Factorization of 9879
3 | 9879 |
37 | 3293 |
89 | 89 |
1 |
Prime factors of 9879 are 3, 37,89. Prime factorization of 9879 in exponential form is:
9879 = 31×371×891
Prime Factorization of 9884
2 | 9884 |
2 | 4942 |
7 | 2471 |
353 | 353 |
1 |
Prime factors of 9884 are 2, 7,353. Prime factorization of 9884 in exponential form is:
9884 = 22×71×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 9879 and 9884.
LCM(9879,9884) = 22×31×71×371×891×3531
LCM(9879,9884) = 97644036
Factors of 9879
List of positive integer factors of 9879 that divides 9879 without a remainder.
1, 3, 37, 89, 111, 267, 3293, 9879
Factors of 9884
List of positive integer factors of 9884 that divides 9884 without a remainder.
1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9879 and 9884, than apply into the LCM equation.
GCF(9879,9884) = 1
LCM(9879,9884) = ( 9879 × 9884) / 1
LCM(9879,9884) = 97644036 / 1
LCM(9879,9884) = 97644036
(i) The LCM of 9884 and 9879 is associative
LCM of 9879 and 9884 = LCM of 9884 and 9879
1. What is the LCM of 9879 and 9884?
Answer: LCM of 9879 and 9884 is 97644036.
2. What are the Factors of 9879?
Answer: Factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879. There are 8 integers that are factors of 9879. The greatest factor of 9879 is 9879.
3. What are the Factors of 9884?
Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.
4. How to Find the LCM of 9879 and 9884?
Answer:
Least Common Multiple of 9879 and 9884 = 97644036
Step 1: Find the prime factorization of 9879
9879 = 3 x 37 x 89
Step 2: Find the prime factorization of 9884
9884 = 2 x 2 x 7 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97644036 = 2 x 2 x 3 x 7 x 37 x 89 x 353
Step 4: Therefore, the least common multiple of 9879 and 9884 is 97644036.