Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9371 and 9375 the smallest integer that is 87853125 that is divisible by both numbers.
Least Common Multiple (LCM) of 9371 and 9375 is 87853125.
LCM(9371,9375) = 87853125
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 9371 and 9375. First we will calculate the prime factors of 9371 and 9375.
Prime Factorization of 9371
9371 | 9371 |
1 |
Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:
9371 = 93711
Prime Factorization of 9375
3 | 9375 |
5 | 3125 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 9375 are 3,5. Prime factorization of 9375 in exponential form is:
9375 = 31×55
Now multiplying the highest exponent prime factors to calculate the LCM of 9371 and 9375.
LCM(9371,9375) = 31×55×93711
LCM(9371,9375) = 87853125
Factors of 9371
List of positive integer factors of 9371 that divides 9371 without a remainder.
1, 9371
Factors of 9375
List of positive integer factors of 9375 that divides 9375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9371 and 9375, than apply into the LCM equation.
GCF(9371,9375) = 1
LCM(9371,9375) = ( 9371 × 9375) / 1
LCM(9371,9375) = 87853125 / 1
LCM(9371,9375) = 87853125
(i) The LCM of 9375 and 9371 is associative
LCM of 9371 and 9375 = LCM of 9375 and 9371
1. What is the LCM of 9371 and 9375?
Answer: LCM of 9371 and 9375 is 87853125.
2. What are the Factors of 9371?
Answer: Factors of 9371 are 1, 9371. There are 2 integers that are factors of 9371. The greatest factor of 9371 is 9371.
3. What are the Factors of 9375?
Answer: Factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375. There are 12 integers that are factors of 9375. The greatest factor of 9375 is 9375.
4. How to Find the LCM of 9371 and 9375?
Answer:
Least Common Multiple of 9371 and 9375 = 87853125
Step 1: Find the prime factorization of 9371
9371 = 9371
Step 2: Find the prime factorization of 9375
9375 = 3 x 5 x 5 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87853125 = 3 x 5 x 5 x 5 x 5 x 5 x 9371
Step 4: Therefore, the least common multiple of 9371 and 9375 is 87853125.