Least Common Multiple of 9379 and 9385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9379 and 9385 the smallest integer that is 88021915 that is divisible by both numbers.
Least Common Multiple (LCM) of 9379 and 9385 is 88021915.
LCM(9379,9385) = 88021915
LCM of 9379 and 9385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9379 and 9385 by Prime method
- Least Common Multiple of 9379 and 9385 with GCF Formula
LCM of 9379 and 9385 is 88021915
Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9385. First we will calculate the prime factors of 9379 and 9385.
Prime Factorization of 9379
| 83 | 9379 |
| 113 | 113 |
| 1 |
Prime factors of 9379 are 83,113. Prime factorization of 9379 in exponential form is:
9379 = 831×1131
Prime Factorization of 9385
| 5 | 9385 |
| 1877 | 1877 |
| 1 |
Prime factors of 9385 are 5,1877. Prime factorization of 9385 in exponential form is:
9385 = 51×18771
Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9385.
LCM(9379,9385) = 51×831×1131×18771
LCM(9379,9385) = 88021915
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1, 83, 113, 9379
Factors of 9385
List of positive integer factors of 9385 that divides 9385 without a remainder.
1, 5, 1877, 9385
Least Common Multiple of 9379 and 9385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9379 and 9385, than apply into the LCM equation.
GCF(9379,9385) = 1
LCM(9379,9385) = ( 9379 × 9385) / 1
LCM(9379,9385) = 88021915 / 1
LCM(9379,9385) = 88021915
Properties of LCM 9379 and 9385
(i) The LCM of 9385 and 9379 is associative
LCM of 9379 and 9385 = LCM of 9385 and 9379
Related Least Common Multiples of 9379
Related Least Common Multiples of 9385
Frequently Asked Questions on LCM of 9379 and 9385
1. What is the LCM of 9379 and 9385?
Answer: LCM of 9379 and 9385 is 88021915.
2. What are the Factors of 9379?
Answer: Factors of 9379 are 1, 83, 113, 9379. There are 4 integers that are factors of 9379. The greatest factor of 9379 is 9379.
3. What are the Factors of 9385?
Answer: Factors of 9385 are 1, 5, 1877, 9385. There are 4 integers that are factors of 9385. The greatest factor of 9385 is 9385.
4. How to Find the LCM of 9379 and 9385?
Answer:
Least Common Multiple of 9379 and 9385 = 88021915
Step 1: Find the prime factorization of 9379
9379 = 83 x 113
Step 2: Find the prime factorization of 9385
9385 = 5 x 1877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88021915 = 5 x 83 x 113 x 1877
Step 4: Therefore, the least common multiple of 9379 and 9385 is 88021915.