Least Common Multiple of 9737 and 9742
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9737 and 9742 the smallest integer that is 94857854 that is divisible by both numbers.
Least Common Multiple (LCM) of 9737 and 9742 is 94857854.
LCM(9737,9742) = 94857854
LCM of 9737 and 9742
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9737 and 9742 by Prime method
- Least Common Multiple of 9737 and 9742 with GCF Formula
LCM of 9737 and 9742 is 94857854
Least common multiple can be found by multiplying the highest exponent prime factors of 9737 and 9742. First we will calculate the prime factors of 9737 and 9742.
Prime Factorization of 9737
| 7 | 9737 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 9737 are 7, 13,107. Prime factorization of 9737 in exponential form is:
9737 = 71×131×1071
Prime Factorization of 9742
| 2 | 9742 |
| 4871 | 4871 |
| 1 |
Prime factors of 9742 are 2,4871. Prime factorization of 9742 in exponential form is:
9742 = 21×48711
Now multiplying the highest exponent prime factors to calculate the LCM of 9737 and 9742.
LCM(9737,9742) = 21×71×131×1071×48711
LCM(9737,9742) = 94857854
Factors of 9737
List of positive integer factors of 9737 that divides 9737 without a remainder.
1, 7, 13, 91, 107, 749, 1391, 9737
Factors of 9742
List of positive integer factors of 9742 that divides 9742 without a remainder.
1, 2, 4871, 9742
Least Common Multiple of 9737 and 9742 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9737 and 9742, than apply into the LCM equation.
GCF(9737,9742) = 1
LCM(9737,9742) = ( 9737 × 9742) / 1
LCM(9737,9742) = 94857854 / 1
LCM(9737,9742) = 94857854
Properties of LCM 9737 and 9742
(i) The LCM of 9742 and 9737 is associative
LCM of 9737 and 9742 = LCM of 9742 and 9737
Related Least Common Multiples of 9737
Related Least Common Multiples of 9742
Frequently Asked Questions on LCM of 9737 and 9742
1. What is the LCM of 9737 and 9742?
Answer: LCM of 9737 and 9742 is 94857854.
2. What are the Factors of 9737?
Answer: Factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737. There are 8 integers that are factors of 9737. The greatest factor of 9737 is 9737.
3. What are the Factors of 9742?
Answer: Factors of 9742 are 1, 2, 4871, 9742. There are 4 integers that are factors of 9742. The greatest factor of 9742 is 9742.
4. How to Find the LCM of 9737 and 9742?
Answer:
Least Common Multiple of 9737 and 9742 = 94857854
Step 1: Find the prime factorization of 9737
9737 = 7 x 13 x 107
Step 2: Find the prime factorization of 9742
9742 = 2 x 4871
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94857854 = 2 x 7 x 13 x 107 x 4871
Step 4: Therefore, the least common multiple of 9737 and 9742 is 94857854.