Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9955 and 9961 the smallest integer that is 99161755 that is divisible by both numbers.
Least Common Multiple (LCM) of 9955 and 9961 is 99161755.
LCM(9955,9961) = 99161755
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 9955 and 9961. First we will calculate the prime factors of 9955 and 9961.
Prime Factorization of 9955
5 | 9955 |
11 | 1991 |
181 | 181 |
1 |
Prime factors of 9955 are 5, 11,181. Prime factorization of 9955 in exponential form is:
9955 = 51×111×1811
Prime Factorization of 9961
7 | 9961 |
1423 | 1423 |
1 |
Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:
9961 = 71×14231
Now multiplying the highest exponent prime factors to calculate the LCM of 9955 and 9961.
LCM(9955,9961) = 51×71×111×1811×14231
LCM(9955,9961) = 99161755
Factors of 9955
List of positive integer factors of 9955 that divides 9955 without a remainder.
1, 5, 11, 55, 181, 905, 1991, 9955
Factors of 9961
List of positive integer factors of 9961 that divides 9961 without a remainder.
1, 7, 1423, 9961
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9955 and 9961, than apply into the LCM equation.
GCF(9955,9961) = 1
LCM(9955,9961) = ( 9955 × 9961) / 1
LCM(9955,9961) = 99161755 / 1
LCM(9955,9961) = 99161755
(i) The LCM of 9961 and 9955 is associative
LCM of 9955 and 9961 = LCM of 9961 and 9955
1. What is the LCM of 9955 and 9961?
Answer: LCM of 9955 and 9961 is 99161755.
2. What are the Factors of 9955?
Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.
3. What are the Factors of 9961?
Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.
4. How to Find the LCM of 9955 and 9961?
Answer:
Least Common Multiple of 9955 and 9961 = 99161755
Step 1: Find the prime factorization of 9955
9955 = 5 x 11 x 181
Step 2: Find the prime factorization of 9961
9961 = 7 x 1423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99161755 = 5 x 7 x 11 x 181 x 1423
Step 4: Therefore, the least common multiple of 9955 and 9961 is 99161755.