Least Common Multiple of 9737 and 9738
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 9738 the smallest integer that is 94818906 that is divisible by both numbers.
Least Common Multiple (LCM) of 9737 and 9738 is 94818906.
LCM(9737,9738) = 94818906
LCM of 9737 and 9738
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9737 and 9738 by Prime method
- Least Common Multiple of 9737 and 9738 with GCF Formula
LCM of 9737 and 9738 is 94818906
Least common multiple can be found by multiplying the highest exponent prime factors of 9737 and 9738. First we will calculate the prime factors of 9737 and 9738.
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 9738
| 2 | 9738 |
| 3 | 4869 |
| 3 | 1623 |
| 541 | 541 |
| 1 |
Prime factors of 9738 are 2, 3,541. Prime factorization of 9738 in exponential form is:
9738 = 21×32×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 9737 and 9738.
LCM(9737,9738) = 21×32×71×131×1071×5411
LCM(9737,9738) = 94818906
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 9738
List of positive integer factors of 9738 that divides 9738 without a remainder.
1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738
Least Common Multiple of 9737 and 9738 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 9738, than apply into the LCM equation.
GCF(9737,9738) = 1
LCM(9737,9738) = ( 9737 × 9738) / 1
LCM(9737,9738) = 94818906 / 1
LCM(9737,9738) = 94818906
Properties of LCM 9737 and 9738
(i) The LCM of 9738 and 9737 is associative
LCM of 9737 and 9738 = LCM of 9738 and 9737
Related Least Common Multiples of 9737
Related Least Common Multiples of 9738
Frequently Asked Questions on LCM of 9737 and 9738
1. What is the LCM of 9737 and 9738?
Answer: LCM of 9737 and 9738 is 94818906.
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 9738?
Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.
4. How to Find the LCM of 9737 and 9738?
Answer:
Least Common Multiple of 9737 and 9738 = 94818906
Step 1: Find the prime factorization of 9737
9737 = 7 x 13 x 107
Step 2: Find the prime factorization of 9738
9738 = 2 x 3 x 3 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94818906 = 2 x 3 x 3 x 7 x 13 x 107 x 541
Step 4: Therefore, the least common multiple of 9737 and 9738 is 94818906.