Least Common Multiple of 35159 and 35167
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 35159 and 35167 the smallest integer that is 1236436553 that is divisible by both numbers.
Least Common Multiple (LCM) of 35159 and 35167 is 1236436553.
LCM(35159,35167) = 1236436553
LCM of 35159 and 35167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 35159 and 35167 by Prime method
- Least Common Multiple of 35159 and 35167 with GCF Formula
LCM of 35159 and 35167 is 1236436553
Least common multiple can be found by multiplying the highest exponent prime factors of 35159 and 35167. First we will calculate the prime factors of 35159 and 35167.
Prime Factorization of 35159
| 35159 | 35159 |
| 1 |
Prime factors of 35159 are 35159. Prime factorization of 35159 in exponential form is:
35159 = 351591
Prime Factorization of 35167
| 11 | 35167 |
| 23 | 3197 |
| 139 | 139 |
| 1 |
Prime factors of 35167 are 11, 23,139. Prime factorization of 35167 in exponential form is:
35167 = 111×231×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 35159 and 35167.
LCM(35159,35167) = 111×231×1391×351591
LCM(35159,35167) = 1236436553
Factors of 35159
List of positive integer factors of 35159 that divides 35159 without a remainder.
1, 35159
Factors of 35167
List of positive integer factors of 35167 that divides 35167 without a remainder.
1, 11, 23, 139, 253, 1529, 3197, 35167
Least Common Multiple of 35159 and 35167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35159 and 35167, than apply into the LCM equation.
GCF(35159,35167) = 1
LCM(35159,35167) = ( 35159 × 35167) / 1
LCM(35159,35167) = 1236436553 / 1
LCM(35159,35167) = 1236436553
Properties of LCM 35159 and 35167
(i) The LCM of 35167 and 35159 is associative
LCM of 35159 and 35167 = LCM of 35167 and 35159
Related Least Common Multiples of 35159
Related Least Common Multiples of 35167
Frequently Asked Questions on LCM of 35159 and 35167
1. What is the LCM of 35159 and 35167?
Answer: LCM of 35159 and 35167 is 1236436553.
2. What are the Factors of 35159?
Answer: Factors of 35159 are 1, 35159. There are 2 integers that are factors of 35159. The greatest factor of 35159 is 35159.
3. What are the Factors of 35167?
Answer: Factors of 35167 are 1, 11, 23, 139, 253, 1529, 3197, 35167. There are 8 integers that are factors of 35167. The greatest factor of 35167 is 35167.
4. How to Find the LCM of 35159 and 35167?
Answer:
Least Common Multiple of 35159 and 35167 = 1236436553
Step 1: Find the prime factorization of 35159
35159 = 35159
Step 2: Find the prime factorization of 35167
35167 = 11 x 23 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1236436553 = 11 x 23 x 139 x 35159
Step 4: Therefore, the least common multiple of 35159 and 35167 is 1236436553.