Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9954 and 9962 the smallest integer that is 49580874 that is divisible by both numbers.
Least Common Multiple (LCM) of 9954 and 9962 is 49580874.
LCM(9954,9962) = 49580874
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 9954 and 9962. First we will calculate the prime factors of 9954 and 9962.
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
Prime Factorization of 9962
2 | 9962 |
17 | 4981 |
293 | 293 |
1 |
Prime factors of 9962 are 2, 17,293. Prime factorization of 9962 in exponential form is:
9962 = 21×171×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9962.
LCM(9954,9962) = 21×32×71×171×791×2931
LCM(9954,9962) = 49580874
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
Factors of 9962
List of positive integer factors of 9962 that divides 9962 without a remainder.
1, 2, 17, 34, 293, 586, 4981, 9962
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9954 and 9962, than apply into the LCM equation.
GCF(9954,9962) = 2
LCM(9954,9962) = ( 9954 × 9962) / 2
LCM(9954,9962) = 99161748 / 2
LCM(9954,9962) = 49580874
(i) The LCM of 9962 and 9954 is associative
LCM of 9954 and 9962 = LCM of 9962 and 9954
1. What is the LCM of 9954 and 9962?
Answer: LCM of 9954 and 9962 is 49580874.
2. 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.
3. What are the Factors of 9962?
Answer: Factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. There are 8 integers that are factors of 9962. The greatest factor of 9962 is 9962.
4. How to Find the LCM of 9954 and 9962?
Answer:
Least Common Multiple of 9954 and 9962 = 49580874
Step 1: Find the prime factorization of 9954
9954 = 2 x 3 x 3 x 7 x 79
Step 2: Find the prime factorization of 9962
9962 = 2 x 17 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49580874 = 2 x 3 x 3 x 7 x 17 x 79 x 293
Step 4: Therefore, the least common multiple of 9954 and 9962 is 49580874.