Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9736 and 9741 the smallest integer that is 94838376 that is divisible by both numbers.
Least Common Multiple (LCM) of 9736 and 9741 is 94838376.
LCM(9736,9741) = 94838376
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 9736 and 9741. First we will calculate the prime factors of 9736 and 9741.
Prime Factorization of 9736
2 | 9736 |
2 | 4868 |
2 | 2434 |
1217 | 1217 |
1 |
Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:
9736 = 23×12171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9736 and 9741.
LCM(9736,9741) = 23×31×171×1911×12171
LCM(9736,9741) = 94838376
Factors of 9736
List of positive integer factors of 9736 that divides 9736 without a remainder.
1, 2, 4, 8, 1217, 2434, 4868, 9736
Factors of 9741
List of positive integer factors of 9741 that divides 9741 without a remainder.
1, 3, 17, 51, 191, 573, 3247, 9741
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9736 and 9741, than apply into the LCM equation.
GCF(9736,9741) = 1
LCM(9736,9741) = ( 9736 × 9741) / 1
LCM(9736,9741) = 94838376 / 1
LCM(9736,9741) = 94838376
(i) The LCM of 9741 and 9736 is associative
LCM of 9736 and 9741 = LCM of 9741 and 9736
1. What is the LCM of 9736 and 9741?
Answer: LCM of 9736 and 9741 is 94838376.
2. What are the Factors of 9736?
Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.
3. 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.
4. How to Find the LCM of 9736 and 9741?
Answer:
Least Common Multiple of 9736 and 9741 = 94838376
Step 1: Find the prime factorization of 9736
9736 = 2 x 2 x 2 x 1217
Step 2: Find the prime factorization of 9741
9741 = 3 x 17 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94838376 = 2 x 2 x 2 x 3 x 17 x 191 x 1217
Step 4: Therefore, the least common multiple of 9736 and 9741 is 94838376.