Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9741 and 9748 the smallest integer that is 94955268 that is divisible by both numbers.
Least Common Multiple (LCM) of 9741 and 9748 is 94955268.
LCM(9741,9748) = 94955268
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 9741 and 9748. First we will calculate the prime factors of 9741 and 9748.
Prime Factorization of 9741
3 | 9741 |
17 | 3247 |
191 | 191 |
1 |
Prime factors of 9741 are 3, 17,191. Prime factorization of 9741 in exponential form is:
9741 = 31×171×1911
Prime Factorization of 9748
2 | 9748 |
2 | 4874 |
2437 | 2437 |
1 |
Prime factors of 9748 are 2,2437. Prime factorization of 9748 in exponential form is:
9748 = 22×24371
Now multiplying the highest exponent prime factors to calculate the LCM of 9741 and 9748.
LCM(9741,9748) = 22×31×171×1911×24371
LCM(9741,9748) = 94955268
Factors of 9741
List of positive integer factors of 9741 that divides 9741 without a remainder.
1, 3, 17, 51, 191, 573, 3247, 9741
Factors of 9748
List of positive integer factors of 9748 that divides 9748 without a remainder.
1, 2, 4, 2437, 4874, 9748
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9741 and 9748, than apply into the LCM equation.
GCF(9741,9748) = 1
LCM(9741,9748) = ( 9741 × 9748) / 1
LCM(9741,9748) = 94955268 / 1
LCM(9741,9748) = 94955268
(i) The LCM of 9748 and 9741 is associative
LCM of 9741 and 9748 = LCM of 9748 and 9741
1. What is the LCM of 9741 and 9748?
Answer: LCM of 9741 and 9748 is 94955268.
2. What are the Factors of 9741?
Answer: Factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741. There are 8 integers that are factors of 9741. The greatest factor of 9741 is 9741.
3. What are the Factors of 9748?
Answer: Factors of 9748 are 1, 2, 4, 2437, 4874, 9748. There are 6 integers that are factors of 9748. The greatest factor of 9748 is 9748.
4. How to Find the LCM of 9741 and 9748?
Answer:
Least Common Multiple of 9741 and 9748 = 94955268
Step 1: Find the prime factorization of 9741
9741 = 3 x 17 x 191
Step 2: Find the prime factorization of 9748
9748 = 2 x 2 x 2437
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94955268 = 2 x 2 x 3 x 17 x 191 x 2437
Step 4: Therefore, the least common multiple of 9741 and 9748 is 94955268.