Least Common Multiple of 8149 and 8157
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8149 and 8157 the smallest integer that is 66471393 that is divisible by both numbers.
Least Common Multiple (LCM) of 8149 and 8157 is 66471393.
LCM(8149,8157) = 66471393
LCM of 8149 and 8157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8149 and 8157 by Prime method
- Least Common Multiple of 8149 and 8157 with GCF Formula
LCM of 8149 and 8157 is 66471393
Least common multiple can be found by multiplying the highest exponent prime factors of 8149 and 8157. First we will calculate the prime factors of 8149 and 8157.
Prime Factorization of 8149
| 29 | 8149 |
| 281 | 281 |
| 1 |
Prime factors of 8149 are 29,281. Prime factorization of 8149 in exponential form is:
8149 = 291×2811
Prime Factorization of 8157
| 3 | 8157 |
| 2719 | 2719 |
| 1 |
Prime factors of 8157 are 3,2719. Prime factorization of 8157 in exponential form is:
8157 = 31×27191
Now multiplying the highest exponent prime factors to calculate the LCM of 8149 and 8157.
LCM(8149,8157) = 31×291×2811×27191
LCM(8149,8157) = 66471393
Factors of 8149
List of positive integer factors of 8149 that divides 8149 without a remainder.
1, 29, 281, 8149
Factors of 8157
List of positive integer factors of 8157 that divides 8157 without a remainder.
1, 3, 2719, 8157
Least Common Multiple of 8149 and 8157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8149 and 8157, than apply into the LCM equation.
GCF(8149,8157) = 1
LCM(8149,8157) = ( 8149 × 8157) / 1
LCM(8149,8157) = 66471393 / 1
LCM(8149,8157) = 66471393
Properties of LCM 8149 and 8157
(i) The LCM of 8157 and 8149 is associative
LCM of 8149 and 8157 = LCM of 8157 and 8149
Related Least Common Multiples of 8149
Related Least Common Multiples of 8157
Frequently Asked Questions on LCM of 8149 and 8157
1. What is the LCM of 8149 and 8157?
Answer: LCM of 8149 and 8157 is 66471393.
2. What are the Factors of 8149?
Answer: Factors of 8149 are 1, 29, 281, 8149. There are 4 integers that are factors of 8149. The greatest factor of 8149 is 8149.
3. What are the Factors of 8157?
Answer: Factors of 8157 are 1, 3, 2719, 8157. There are 4 integers that are factors of 8157. The greatest factor of 8157 is 8157.
4. How to Find the LCM of 8149 and 8157?
Answer:
Least Common Multiple of 8149 and 8157 = 66471393
Step 1: Find the prime factorization of 8149
8149 = 29 x 281
Step 2: Find the prime factorization of 8157
8157 = 3 x 2719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66471393 = 3 x 29 x 281 x 2719
Step 4: Therefore, the least common multiple of 8149 and 8157 is 66471393.