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 9958 the smallest integer that is 49560966 that is divisible by both numbers.
Least Common Multiple (LCM) of 9954 and 9958 is 49560966.
LCM(9954,9958) = 49560966
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 9958. First we will calculate the prime factors of 9954 and 9958.
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 9958
2 | 9958 |
13 | 4979 |
383 | 383 |
1 |
Prime factors of 9958 are 2, 13,383. Prime factorization of 9958 in exponential form is:
9958 = 21×131×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9958.
LCM(9954,9958) = 21×32×71×131×791×3831
LCM(9954,9958) = 49560966
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 9958
List of positive integer factors of 9958 that divides 9958 without a remainder.
1, 2, 13, 26, 383, 766, 4979, 9958
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9954 and 9958, than apply into the LCM equation.
GCF(9954,9958) = 2
LCM(9954,9958) = ( 9954 × 9958) / 2
LCM(9954,9958) = 99121932 / 2
LCM(9954,9958) = 49560966
(i) The LCM of 9958 and 9954 is associative
LCM of 9954 and 9958 = LCM of 9958 and 9954
1. What is the LCM of 9954 and 9958?
Answer: LCM of 9954 and 9958 is 49560966.
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 9958?
Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.
4. How to Find the LCM of 9954 and 9958?
Answer:
Least Common Multiple of 9954 and 9958 = 49560966
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 9958
9958 = 2 x 13 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49560966 = 2 x 3 x 3 x 7 x 13 x 79 x 383
Step 4: Therefore, the least common multiple of 9954 and 9958 is 49560966.