Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9370 and 9376 the smallest integer that is 43926560 that is divisible by both numbers.
Least Common Multiple (LCM) of 9370 and 9376 is 43926560.
LCM(9370,9376) = 43926560
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 9370 and 9376. First we will calculate the prime factors of 9370 and 9376.
Prime Factorization of 9370
2 | 9370 |
5 | 4685 |
937 | 937 |
1 |
Prime factors of 9370 are 2, 5,937. Prime factorization of 9370 in exponential form is:
9370 = 21×51×9371
Prime Factorization of 9376
2 | 9376 |
2 | 4688 |
2 | 2344 |
2 | 1172 |
2 | 586 |
293 | 293 |
1 |
Prime factors of 9376 are 2,293. Prime factorization of 9376 in exponential form is:
9376 = 25×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 9370 and 9376.
LCM(9370,9376) = 25×51×2931×9371
LCM(9370,9376) = 43926560
Factors of 9370
List of positive integer factors of 9370 that divides 9370 without a remainder.
1, 2, 5, 10, 937, 1874, 4685, 9370
Factors of 9376
List of positive integer factors of 9376 that divides 9376 without a remainder.
1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9370 and 9376, than apply into the LCM equation.
GCF(9370,9376) = 2
LCM(9370,9376) = ( 9370 × 9376) / 2
LCM(9370,9376) = 87853120 / 2
LCM(9370,9376) = 43926560
(i) The LCM of 9376 and 9370 is associative
LCM of 9370 and 9376 = LCM of 9376 and 9370
1. What is the LCM of 9370 and 9376?
Answer: LCM of 9370 and 9376 is 43926560.
2. What are the Factors of 9370?
Answer: Factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370. There are 8 integers that are factors of 9370. The greatest factor of 9370 is 9370.
3. What are the Factors of 9376?
Answer: Factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376. There are 12 integers that are factors of 9376. The greatest factor of 9376 is 9376.
4. How to Find the LCM of 9370 and 9376?
Answer:
Least Common Multiple of 9370 and 9376 = 43926560
Step 1: Find the prime factorization of 9370
9370 = 2 x 5 x 937
Step 2: Find the prime factorization of 9376
9376 = 2 x 2 x 2 x 2 x 2 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43926560 = 2 x 2 x 2 x 2 x 2 x 5 x 293 x 937
Step 4: Therefore, the least common multiple of 9370 and 9376 is 43926560.