Least Common Multiple of 8351 and 8357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8351 and 8357 the smallest integer that is 69789307 that is divisible by both numbers.
Least Common Multiple (LCM) of 8351 and 8357 is 69789307.
LCM(8351,8357) = 69789307
LCM of 8351 and 8357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8351 and 8357 by Prime method
- Least Common Multiple of 8351 and 8357 with GCF Formula
LCM of 8351 and 8357 is 69789307
Least common multiple can be found by multiplying the highest exponent prime factors of 8351 and 8357. First we will calculate the prime factors of 8351 and 8357.
Prime Factorization of 8351
| 7 | 8351 |
| 1193 | 1193 |
| 1 |
Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:
8351 = 71×11931
Prime Factorization of 8357
| 61 | 8357 |
| 137 | 137 |
| 1 |
Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:
8357 = 611×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8351 and 8357.
LCM(8351,8357) = 71×611×1371×11931
LCM(8351,8357) = 69789307
Factors of 8351
List of positive integer factors of 8351 that divides 8351 without a remainder.
1, 7, 1193, 8351
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1, 61, 137, 8357
Least Common Multiple of 8351 and 8357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8351 and 8357, than apply into the LCM equation.
GCF(8351,8357) = 1
LCM(8351,8357) = ( 8351 × 8357) / 1
LCM(8351,8357) = 69789307 / 1
LCM(8351,8357) = 69789307
Properties of LCM 8351 and 8357
(i) The LCM of 8357 and 8351 is associative
LCM of 8351 and 8357 = LCM of 8357 and 8351
Related Least Common Multiples of 8351
Related Least Common Multiples of 8357
Frequently Asked Questions on LCM of 8351 and 8357
1. What is the LCM of 8351 and 8357?
Answer: LCM of 8351 and 8357 is 69789307.
2. What are the Factors of 8351?
Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.
3. What are the Factors of 8357?
Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.
4. How to Find the LCM of 8351 and 8357?
Answer:
Least Common Multiple of 8351 and 8357 = 69789307
Step 1: Find the prime factorization of 8351
8351 = 7 x 1193
Step 2: Find the prime factorization of 8357
8357 = 61 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69789307 = 7 x 61 x 137 x 1193
Step 4: Therefore, the least common multiple of 8351 and 8357 is 69789307.