Least Common Multiple of 9379 and 9386
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 9386 the smallest integer that is 88031294 that is divisible by both numbers.
Least Common Multiple (LCM) of 9379 and 9386 is 88031294.
LCM(9379,9386) = 88031294
LCM of 9379 and 9386
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9379 and 9386 by Prime method
- Least Common Multiple of 9379 and 9386 with GCF Formula
LCM of 9379 and 9386 is 88031294
Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9386. First we will calculate the prime factors of 9379 and 9386.
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 9386
| 2 | 9386 |
| 13 | 4693 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 9386 are 2, 13,19. Prime factorization of 9386 in exponential form is:
9386 = 21×131×192
Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9386.
LCM(9379,9386) = 21×131×192×831×1131
LCM(9379,9386) = 88031294
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1, 83, 113, 9379
Factors of 9386
List of positive integer factors of 9386 that divides 9386 without a remainder.
1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386
Least Common Multiple of 9379 and 9386 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 9386, than apply into the LCM equation.
GCF(9379,9386) = 1
LCM(9379,9386) = ( 9379 × 9386) / 1
LCM(9379,9386) = 88031294 / 1
LCM(9379,9386) = 88031294
Properties of LCM 9379 and 9386
(i) The LCM of 9386 and 9379 is associative
LCM of 9379 and 9386 = LCM of 9386 and 9379
Related Least Common Multiples of 9379
Related Least Common Multiples of 9386
Frequently Asked Questions on LCM of 9379 and 9386
1. What is the LCM of 9379 and 9386?
Answer: LCM of 9379 and 9386 is 88031294.
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 9386?
Answer: Factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386. There are 12 integers that are factors of 9386. The greatest factor of 9386 is 9386.
4. How to Find the LCM of 9379 and 9386?
Answer:
Least Common Multiple of 9379 and 9386 = 88031294
Step 1: Find the prime factorization of 9379
9379 = 83 x 113
Step 2: Find the prime factorization of 9386
9386 = 2 x 13 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88031294 = 2 x 13 x 19 x 19 x 83 x 113
Step 4: Therefore, the least common multiple of 9379 and 9386 is 88031294.