Least Common Multiple of 9741 and 9749
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 9749 the smallest integer that is 94965009 that is divisible by both numbers.
Least Common Multiple (LCM) of 9741 and 9749 is 94965009.
LCM(9741,9749) = 94965009
LCM of 9741 and 9749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9741 and 9749 by Prime method
- Least Common Multiple of 9741 and 9749 with GCF Formula
LCM of 9741 and 9749 is 94965009
Least common multiple can be found by multiplying the highest exponent prime factors of 9741 and 9749. First we will calculate the prime factors of 9741 and 9749.
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 9749
| 9749 | 9749 |
| 1 |
Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:
9749 = 97491
Now multiplying the highest exponent prime factors to calculate the LCM of 9741 and 9749.
LCM(9741,9749) = 31×171×1911×97491
LCM(9741,9749) = 94965009
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 9749
List of positive integer factors of 9749 that divides 9749 without a remainder.
1, 9749
Least Common Multiple of 9741 and 9749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9741 and 9749, than apply into the LCM equation.
GCF(9741,9749) = 1
LCM(9741,9749) = ( 9741 × 9749) / 1
LCM(9741,9749) = 94965009 / 1
LCM(9741,9749) = 94965009
Properties of LCM 9741 and 9749
(i) The LCM of 9749 and 9741 is associative
LCM of 9741 and 9749 = LCM of 9749 and 9741
Related Least Common Multiples of 9741
Related Least Common Multiples of 9749
Frequently Asked Questions on LCM of 9741 and 9749
1. What is the LCM of 9741 and 9749?
Answer: LCM of 9741 and 9749 is 94965009.
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 9749?
Answer: Factors of 9749 are 1, 9749. There are 2 integers that are factors of 9749. The greatest factor of 9749 is 9749.
4. How to Find the LCM of 9741 and 9749?
Answer:
Least Common Multiple of 9741 and 9749 = 94965009
Step 1: Find the prime factorization of 9741
9741 = 3 x 17 x 191
Step 2: Find the prime factorization of 9749
9749 = 9749
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94965009 = 3 x 17 x 191 x 9749
Step 4: Therefore, the least common multiple of 9741 and 9749 is 94965009.