Least Common Multiple of 6138 and 6143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6138 and 6143 the smallest integer that is 37705734 that is divisible by both numbers.
Least Common Multiple (LCM) of 6138 and 6143 is 37705734.
LCM(6138,6143) = 37705734
LCM of 6138 and 6143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6138 and 6143 by Prime method
- Least Common Multiple of 6138 and 6143 with GCF Formula
LCM of 6138 and 6143 is 37705734
Least common multiple can be found by multiplying the highest exponent prime factors of 6138 and 6143. First we will calculate the prime factors of 6138 and 6143.
Prime Factorization of 6138
| 2 | 6138 |
| 3 | 3069 |
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 6138 are 2, 3, 11,31. Prime factorization of 6138 in exponential form is:
6138 = 21×32×111×311
Prime Factorization of 6143
| 6143 | 6143 |
| 1 |
Prime factors of 6143 are 6143. Prime factorization of 6143 in exponential form is:
6143 = 61431
Now multiplying the highest exponent prime factors to calculate the LCM of 6138 and 6143.
LCM(6138,6143) = 21×32×111×311×61431
LCM(6138,6143) = 37705734
Factors of 6138
List of positive integer factors of 6138 that divides 6138 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
Factors of 6143
List of positive integer factors of 6143 that divides 6143 without a remainder.
1, 6143
Least Common Multiple of 6138 and 6143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6138 and 6143, than apply into the LCM equation.
GCF(6138,6143) = 1
LCM(6138,6143) = ( 6138 × 6143) / 1
LCM(6138,6143) = 37705734 / 1
LCM(6138,6143) = 37705734
Properties of LCM 6138 and 6143
(i) The LCM of 6143 and 6138 is associative
LCM of 6138 and 6143 = LCM of 6143 and 6138
Related Least Common Multiples of 6138
Related Least Common Multiples of 6143
Frequently Asked Questions on LCM of 6138 and 6143
1. What is the LCM of 6138 and 6143?
Answer: LCM of 6138 and 6143 is 37705734.
2. What are the Factors of 6138?
Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.
3. What are the Factors of 6143?
Answer: Factors of 6143 are 1, 6143. There are 2 integers that are factors of 6143. The greatest factor of 6143 is 6143.
4. How to Find the LCM of 6138 and 6143?
Answer:
Least Common Multiple of 6138 and 6143 = 37705734
Step 1: Find the prime factorization of 6138
6138 = 2 x 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 6143
6143 = 6143
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37705734 = 2 x 3 x 3 x 11 x 31 x 6143
Step 4: Therefore, the least common multiple of 6138 and 6143 is 37705734.