Least Common Multiple of 6113 and 6118
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6113 and 6118 the smallest integer that is 37399334 that is divisible by both numbers.
Least Common Multiple (LCM) of 6113 and 6118 is 37399334.
LCM(6113,6118) = 37399334
LCM of 6113 and 6118
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6113 and 6118 by Prime method
- Least Common Multiple of 6113 and 6118 with GCF Formula
LCM of 6113 and 6118 is 37399334
Least common multiple can be found by multiplying the highest exponent prime factors of 6113 and 6118. First we will calculate the prime factors of 6113 and 6118.
Prime Factorization of 6113
| 6113 | 6113 |
| 1 |
Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:
6113 = 61131
Prime Factorization of 6118
| 2 | 6118 |
| 7 | 3059 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 6118 are 2, 7, 19,23. Prime factorization of 6118 in exponential form is:
6118 = 21×71×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6113 and 6118.
LCM(6113,6118) = 21×71×191×231×61131
LCM(6113,6118) = 37399334
Factors of 6113
List of positive integer factors of 6113 that divides 6113 without a remainder.
1, 6113
Factors of 6118
List of positive integer factors of 6118 that divides 6118 without a remainder.
1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
Least Common Multiple of 6113 and 6118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6113 and 6118, than apply into the LCM equation.
GCF(6113,6118) = 1
LCM(6113,6118) = ( 6113 × 6118) / 1
LCM(6113,6118) = 37399334 / 1
LCM(6113,6118) = 37399334
Properties of LCM 6113 and 6118
(i) The LCM of 6118 and 6113 is associative
LCM of 6113 and 6118 = LCM of 6118 and 6113
Related Least Common Multiples of 6113
Related Least Common Multiples of 6118
Frequently Asked Questions on LCM of 6113 and 6118
1. What is the LCM of 6113 and 6118?
Answer: LCM of 6113 and 6118 is 37399334.
2. What are the Factors of 6113?
Answer: Factors of 6113 are 1, 6113. There are 2 integers that are factors of 6113. The greatest factor of 6113 is 6113.
3. What are the Factors of 6118?
Answer: Factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. There are 16 integers that are factors of 6118. The greatest factor of 6118 is 6118.
4. How to Find the LCM of 6113 and 6118?
Answer:
Least Common Multiple of 6113 and 6118 = 37399334
Step 1: Find the prime factorization of 6113
6113 = 6113
Step 2: Find the prime factorization of 6118
6118 = 2 x 7 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37399334 = 2 x 7 x 19 x 23 x 6113
Step 4: Therefore, the least common multiple of 6113 and 6118 is 37399334.