Least Common Multiple of 7107 and 7114
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7107 and 7114 the smallest integer that is 50559198 that is divisible by both numbers.
Least Common Multiple (LCM) of 7107 and 7114 is 50559198.
LCM(7107,7114) = 50559198
LCM of 7107 and 7114
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7107 and 7114 by Prime method
- Least Common Multiple of 7107 and 7114 with GCF Formula
LCM of 7107 and 7114 is 50559198
Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7114. First we will calculate the prime factors of 7107 and 7114.
Prime Factorization of 7107
| 3 | 7107 |
| 23 | 2369 |
| 103 | 103 |
| 1 |
Prime factors of 7107 are 3, 23,103. Prime factorization of 7107 in exponential form is:
7107 = 31×231×1031
Prime Factorization of 7114
| 2 | 7114 |
| 3557 | 3557 |
| 1 |
Prime factors of 7114 are 2,3557. Prime factorization of 7114 in exponential form is:
7114 = 21×35571
Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7114.
LCM(7107,7114) = 21×31×231×1031×35571
LCM(7107,7114) = 50559198
Factors of 7107
List of positive integer factors of 7107 that divides 7107 without a remainder.
1, 3, 23, 69, 103, 309, 2369, 7107
Factors of 7114
List of positive integer factors of 7114 that divides 7114 without a remainder.
1, 2, 3557, 7114
Least Common Multiple of 7107 and 7114 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7107 and 7114, than apply into the LCM equation.
GCF(7107,7114) = 1
LCM(7107,7114) = ( 7107 × 7114) / 1
LCM(7107,7114) = 50559198 / 1
LCM(7107,7114) = 50559198
Properties of LCM 7107 and 7114
(i) The LCM of 7114 and 7107 is associative
LCM of 7107 and 7114 = LCM of 7114 and 7107
Related Least Common Multiples of 7107
Related Least Common Multiples of 7114
Frequently Asked Questions on LCM of 7107 and 7114
1. What is the LCM of 7107 and 7114?
Answer: LCM of 7107 and 7114 is 50559198.
2. What are the Factors of 7107?
Answer: Factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107. There are 8 integers that are factors of 7107. The greatest factor of 7107 is 7107.
3. What are the Factors of 7114?
Answer: Factors of 7114 are 1, 2, 3557, 7114. There are 4 integers that are factors of 7114. The greatest factor of 7114 is 7114.
4. How to Find the LCM of 7107 and 7114?
Answer:
Least Common Multiple of 7107 and 7114 = 50559198
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7114
7114 = 2 x 3557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50559198 = 2 x 3 x 23 x 103 x 3557
Step 4: Therefore, the least common multiple of 7107 and 7114 is 50559198.