Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9952 and 9957 the smallest integer that is 99092064 that is divisible by both numbers.
Least Common Multiple (LCM) of 9952 and 9957 is 99092064.
LCM(9952,9957) = 99092064
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 9952 and 9957. First we will calculate the prime factors of 9952 and 9957.
Prime Factorization of 9952
2 | 9952 |
2 | 4976 |
2 | 2488 |
2 | 1244 |
2 | 622 |
311 | 311 |
1 |
Prime factors of 9952 are 2,311. Prime factorization of 9952 in exponential form is:
9952 = 25×3111
Prime Factorization of 9957
3 | 9957 |
3319 | 3319 |
1 |
Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:
9957 = 31×33191
Now multiplying the highest exponent prime factors to calculate the LCM of 9952 and 9957.
LCM(9952,9957) = 25×31×3111×33191
LCM(9952,9957) = 99092064
Factors of 9952
List of positive integer factors of 9952 that divides 9952 without a remainder.
1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952
Factors of 9957
List of positive integer factors of 9957 that divides 9957 without a remainder.
1, 3, 3319, 9957
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9952 and 9957, than apply into the LCM equation.
GCF(9952,9957) = 1
LCM(9952,9957) = ( 9952 × 9957) / 1
LCM(9952,9957) = 99092064 / 1
LCM(9952,9957) = 99092064
(i) The LCM of 9957 and 9952 is associative
LCM of 9952 and 9957 = LCM of 9957 and 9952
1. What is the LCM of 9952 and 9957?
Answer: LCM of 9952 and 9957 is 99092064.
2. What are the Factors of 9952?
Answer: Factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952. There are 12 integers that are factors of 9952. The greatest factor of 9952 is 9952.
3. What are the Factors of 9957?
Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.
4. How to Find the LCM of 9952 and 9957?
Answer:
Least Common Multiple of 9952 and 9957 = 99092064
Step 1: Find the prime factorization of 9952
9952 = 2 x 2 x 2 x 2 x 2 x 311
Step 2: Find the prime factorization of 9957
9957 = 3 x 3319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99092064 = 2 x 2 x 2 x 2 x 2 x 3 x 311 x 3319
Step 4: Therefore, the least common multiple of 9952 and 9957 is 99092064.