Least Common Multiple of 6149 and 6155
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 6155 the smallest integer that is 37847095 that is divisible by both numbers.
Least Common Multiple (LCM) of 6149 and 6155 is 37847095.
LCM(6149,6155) = 37847095
LCM of 6149 and 6155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6149 and 6155 by Prime method
- Least Common Multiple of 6149 and 6155 with GCF Formula
LCM of 6149 and 6155 is 37847095
Least common multiple can be found by multiplying the highest exponent prime factors of 6149 and 6155. First we will calculate the prime factors of 6149 and 6155.
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 6155
| 5 | 6155 |
| 1231 | 1231 |
| 1 |
Prime factors of 6155 are 5,1231. Prime factorization of 6155 in exponential form is:
6155 = 51×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 6149 and 6155.
LCM(6149,6155) = 51×111×131×431×12311
LCM(6149,6155) = 37847095
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 6155
List of positive integer factors of 6155 that divides 6155 without a remainder.
1, 5, 1231, 6155
Least Common Multiple of 6149 and 6155 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 6155, than apply into the LCM equation.
GCF(6149,6155) = 1
LCM(6149,6155) = ( 6149 × 6155) / 1
LCM(6149,6155) = 37847095 / 1
LCM(6149,6155) = 37847095
Properties of LCM 6149 and 6155
(i) The LCM of 6155 and 6149 is associative
LCM of 6149 and 6155 = LCM of 6155 and 6149
Related Least Common Multiples of 6149
Related Least Common Multiples of 6155
Frequently Asked Questions on LCM of 6149 and 6155
1. What is the LCM of 6149 and 6155?
Answer: LCM of 6149 and 6155 is 37847095.
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 6155?
Answer: Factors of 6155 are 1, 5, 1231, 6155. There are 4 integers that are factors of 6155. The greatest factor of 6155 is 6155.
4. How to Find the LCM of 6149 and 6155?
Answer:
Least Common Multiple of 6149 and 6155 = 37847095
Step 1: Find the prime factorization of 6149
6149 = 11 x 13 x 43
Step 2: Find the prime factorization of 6155
6155 = 5 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37847095 = 5 x 11 x 13 x 43 x 1231
Step 4: Therefore, the least common multiple of 6149 and 6155 is 37847095.