Least Common Multiple of 7107 and 7109
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 7109 the smallest integer that is 50523663 that is divisible by both numbers.
Least Common Multiple (LCM) of 7107 and 7109 is 50523663.
LCM(7107,7109) = 50523663
LCM of 7107 and 7109
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7107 and 7109 by Prime method
- Least Common Multiple of 7107 and 7109 with GCF Formula
LCM of 7107 and 7109 is 50523663
Least common multiple can be found by multiplying the highest exponent prime factors of 7107 and 7109. First we will calculate the prime factors of 7107 and 7109.
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 7109
| 7109 | 7109 |
| 1 |
Prime factors of 7109 are 7109. Prime factorization of 7109 in exponential form is:
7109 = 71091
Now multiplying the highest exponent prime factors to calculate the LCM of 7107 and 7109.
LCM(7107,7109) = 31×231×1031×71091
LCM(7107,7109) = 50523663
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 7109
List of positive integer factors of 7109 that divides 7109 without a remainder.
1, 7109
Least Common Multiple of 7107 and 7109 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 7109, than apply into the LCM equation.
GCF(7107,7109) = 1
LCM(7107,7109) = ( 7107 × 7109) / 1
LCM(7107,7109) = 50523663 / 1
LCM(7107,7109) = 50523663
Properties of LCM 7107 and 7109
(i) The LCM of 7109 and 7107 is associative
LCM of 7107 and 7109 = LCM of 7109 and 7107
Related Least Common Multiples of 7107
Related Least Common Multiples of 7109
Frequently Asked Questions on LCM of 7107 and 7109
1. What is the LCM of 7107 and 7109?
Answer: LCM of 7107 and 7109 is 50523663.
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 7109?
Answer: Factors of 7109 are 1, 7109. There are 2 integers that are factors of 7109. The greatest factor of 7109 is 7109.
4. How to Find the LCM of 7107 and 7109?
Answer:
Least Common Multiple of 7107 and 7109 = 50523663
Step 1: Find the prime factorization of 7107
7107 = 3 x 23 x 103
Step 2: Find the prime factorization of 7109
7109 = 7109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50523663 = 3 x 23 x 103 x 7109
Step 4: Therefore, the least common multiple of 7107 and 7109 is 50523663.