Least Common Multiple of 9948 and 9954
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9948 and 9954 the smallest integer that is 16503732 that is divisible by both numbers.
Least Common Multiple (LCM) of 9948 and 9954 is 16503732.
LCM(9948,9954) = 16503732
LCM of 9948 and 9954
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9948 and 9954 by Prime method
- Least Common Multiple of 9948 and 9954 with GCF Formula
LCM of 9948 and 9954 is 16503732
Least common multiple can be found by multiplying the highest exponent prime factors of 9948 and 9954. First we will calculate the prime factors of 9948 and 9954.
Prime Factorization of 9948
| 2 | 9948 |
| 2 | 4974 |
| 3 | 2487 |
| 829 | 829 |
| 1 |
Prime factors of 9948 are 2, 3,829. Prime factorization of 9948 in exponential form is:
9948 = 22×31×8291
Prime Factorization of 9954
| 2 | 9954 |
| 3 | 4977 |
| 3 | 1659 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 9954 are 2, 3, 7,79. Prime factorization of 9954 in exponential form is:
9954 = 21×32×71×791
Now multiplying the highest exponent prime factors to calculate the LCM of 9948 and 9954.
LCM(9948,9954) = 22×32×71×791×8291
LCM(9948,9954) = 16503732
Factors of 9948
List of positive integer factors of 9948 that divides 9948 without a remainder.
1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948
Factors of 9954
List of positive integer factors of 9954 that divides 9954 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954
Least Common Multiple of 9948 and 9954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9948 and 9954, than apply into the LCM equation.
GCF(9948,9954) = 6
LCM(9948,9954) = ( 9948 × 9954) / 6
LCM(9948,9954) = 99022392 / 6
LCM(9948,9954) = 16503732
Properties of LCM 9948 and 9954
(i) The LCM of 9954 and 9948 is associative
LCM of 9948 and 9954 = LCM of 9954 and 9948
Related Least Common Multiples of 9948
Related Least Common Multiples of 9954
Frequently Asked Questions on LCM of 9948 and 9954
1. What is the LCM of 9948 and 9954?
Answer: LCM of 9948 and 9954 is 16503732.
2. What are the Factors of 9948?
Answer: Factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948. There are 12 integers that are factors of 9948. The greatest factor of 9948 is 9948.
3. What are the Factors of 9954?
Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.
4. How to Find the LCM of 9948 and 9954?
Answer:
Least Common Multiple of 9948 and 9954 = 16503732
Step 1: Find the prime factorization of 9948
9948 = 2 x 2 x 3 x 829
Step 2: Find the prime factorization of 9954
9954 = 2 x 3 x 3 x 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16503732 = 2 x 2 x 3 x 3 x 7 x 79 x 829
Step 4: Therefore, the least common multiple of 9948 and 9954 is 16503732.