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 9377 the smallest integer that is 87862490 that is divisible by both numbers.
Least Common Multiple (LCM) of 9370 and 9377 is 87862490.
LCM(9370,9377) = 87862490
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 9377. First we will calculate the prime factors of 9370 and 9377.
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 9377
9377 | 9377 |
1 |
Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:
9377 = 93771
Now multiplying the highest exponent prime factors to calculate the LCM of 9370 and 9377.
LCM(9370,9377) = 21×51×9371×93771
LCM(9370,9377) = 87862490
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 9377
List of positive integer factors of 9377 that divides 9377 without a remainder.
1, 9377
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9370 and 9377, than apply into the LCM equation.
GCF(9370,9377) = 1
LCM(9370,9377) = ( 9370 × 9377) / 1
LCM(9370,9377) = 87862490 / 1
LCM(9370,9377) = 87862490
(i) The LCM of 9377 and 9370 is associative
LCM of 9370 and 9377 = LCM of 9377 and 9370
1. What is the LCM of 9370 and 9377?
Answer: LCM of 9370 and 9377 is 87862490.
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 9377?
Answer: Factors of 9377 are 1, 9377. There are 2 integers that are factors of 9377. The greatest factor of 9377 is 9377.
4. How to Find the LCM of 9370 and 9377?
Answer:
Least Common Multiple of 9370 and 9377 = 87862490
Step 1: Find the prime factorization of 9370
9370 = 2 x 5 x 937
Step 2: Find the prime factorization of 9377
9377 = 9377
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87862490 = 2 x 5 x 937 x 9377
Step 4: Therefore, the least common multiple of 9370 and 9377 is 87862490.