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 9740 the smallest integer that is 94838380 that is divisible by both numbers.
Least Common Multiple (LCM) of 9737 and 9740 is 94838380.
LCM(9737,9740) = 94838380
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 9737 and 9740. First we will calculate the prime factors of 9737 and 9740.
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 9740
2 | 9740 |
2 | 4870 |
5 | 2435 |
487 | 487 |
1 |
Prime factors of 9740 are 2, 5,487. Prime factorization of 9740 in exponential form is:
9740 = 22×51×4871
Now multiplying the highest exponent prime factors to calculate the LCM of 9737 and 9740.
LCM(9737,9740) = 22×51×71×131×1071×4871
LCM(9737,9740) = 94838380
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 9740
List of positive integer factors of 9740 that divides 9740 without a remainder.
1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9737 and 9740, than apply into the LCM equation.
GCF(9737,9740) = 1
LCM(9737,9740) = ( 9737 × 9740) / 1
LCM(9737,9740) = 94838380 / 1
LCM(9737,9740) = 94838380
(i) The LCM of 9740 and 9737 is associative
LCM of 9737 and 9740 = LCM of 9740 and 9737
1. What is the LCM of 9737 and 9740?
Answer: LCM of 9737 and 9740 is 94838380.
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 9740?
Answer: Factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740. There are 12 integers that are factors of 9740. The greatest factor of 9740 is 9740.
4. How to Find the LCM of 9737 and 9740?
Answer:
Least Common Multiple of 9737 and 9740 = 94838380
Step 1: Find the prime factorization of 9737
9737 = 7 x 13 x 107
Step 2: Find the prime factorization of 9740
9740 = 2 x 2 x 5 x 487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94838380 = 2 x 2 x 5 x 7 x 13 x 107 x 487
Step 4: Therefore, the least common multiple of 9737 and 9740 is 94838380.