Least Common Multiple of 6149 and 6157
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6149 and 6157 the smallest integer that is 37859393 that is divisible by both numbers.
Least Common Multiple (LCM) of 6149 and 6157 is 37859393.
LCM(6149,6157) = 37859393
LCM of 6149 and 6157
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6149 and 6157 by Prime method
- Least Common Multiple of 6149 and 6157 with GCF Formula
LCM of 6149 and 6157 is 37859393
Least common multiple can be found by multiplying the highest exponent prime factors of 6149 and 6157. First we will calculate the prime factors of 6149 and 6157.
Prime Factorization of 6149
| 11 | 6149 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 6149 are 11, 13,43. Prime factorization of 6149 in exponential form is:
6149 = 111×131×431
Prime Factorization of 6157
| 47 | 6157 |
| 131 | 131 |
| 1 |
Prime factors of 6157 are 47,131. Prime factorization of 6157 in exponential form is:
6157 = 471×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 6149 and 6157.
LCM(6149,6157) = 111×131×431×471×1311
LCM(6149,6157) = 37859393
Factors of 6149
List of positive integer factors of 6149 that divides 6149 without a remainder.
1, 11, 13, 43, 143, 473, 559, 6149
Factors of 6157
List of positive integer factors of 6157 that divides 6157 without a remainder.
1, 47, 131, 6157
Least Common Multiple of 6149 and 6157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6149 and 6157, than apply into the LCM equation.
GCF(6149,6157) = 1
LCM(6149,6157) = ( 6149 × 6157) / 1
LCM(6149,6157) = 37859393 / 1
LCM(6149,6157) = 37859393
Properties of LCM 6149 and 6157
(i) The LCM of 6157 and 6149 is associative
LCM of 6149 and 6157 = LCM of 6157 and 6149
Related Least Common Multiples of 6149
Related Least Common Multiples of 6157
Frequently Asked Questions on LCM of 6149 and 6157
1. What is the LCM of 6149 and 6157?
Answer: LCM of 6149 and 6157 is 37859393.
2. What are the Factors of 6149?
Answer: Factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149. There are 8 integers that are factors of 6149. The greatest factor of 6149 is 6149.
3. What are the Factors of 6157?
Answer: Factors of 6157 are 1, 47, 131, 6157. There are 4 integers that are factors of 6157. The greatest factor of 6157 is 6157.
4. How to Find the LCM of 6149 and 6157?
Answer:
Least Common Multiple of 6149 and 6157 = 37859393
Step 1: Find the prime factorization of 6149
6149 = 11 x 13 x 43
Step 2: Find the prime factorization of 6157
6157 = 47 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37859393 = 11 x 13 x 43 x 47 x 131
Step 4: Therefore, the least common multiple of 6149 and 6157 is 37859393.