Least Common Multiple of 7119 and 7126
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7119 and 7126 the smallest integer that is 7247142 that is divisible by both numbers.
Least Common Multiple (LCM) of 7119 and 7126 is 7247142.
LCM(7119,7126) = 7247142
LCM of 7119 and 7126
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7119 and 7126 by Prime method
- Least Common Multiple of 7119 and 7126 with GCF Formula
LCM of 7119 and 7126 is 7247142
Least common multiple can be found by multiplying the highest exponent prime factors of 7119 and 7126. First we will calculate the prime factors of 7119 and 7126.
Prime Factorization of 7119
| 3 | 7119 |
| 3 | 2373 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 7119 are 3, 7,113. Prime factorization of 7119 in exponential form is:
7119 = 32×71×1131
Prime Factorization of 7126
| 2 | 7126 |
| 7 | 3563 |
| 509 | 509 |
| 1 |
Prime factors of 7126 are 2, 7,509. Prime factorization of 7126 in exponential form is:
7126 = 21×71×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 7119 and 7126.
LCM(7119,7126) = 21×32×71×1131×5091
LCM(7119,7126) = 7247142
Factors of 7119
List of positive integer factors of 7119 that divides 7119 without a remainder.
1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
Factors of 7126
List of positive integer factors of 7126 that divides 7126 without a remainder.
1, 2, 7, 14, 509, 1018, 3563, 7126
Least Common Multiple of 7119 and 7126 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7119 and 7126, than apply into the LCM equation.
GCF(7119,7126) = 7
LCM(7119,7126) = ( 7119 × 7126) / 7
LCM(7119,7126) = 50729994 / 7
LCM(7119,7126) = 7247142
Properties of LCM 7119 and 7126
(i) The LCM of 7126 and 7119 is associative
LCM of 7119 and 7126 = LCM of 7126 and 7119
Related Least Common Multiples of 7119
Related Least Common Multiples of 7126
Frequently Asked Questions on LCM of 7119 and 7126
1. What is the LCM of 7119 and 7126?
Answer: LCM of 7119 and 7126 is 7247142.
2. What are the Factors of 7119?
Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.
3. What are the Factors of 7126?
Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.
4. How to Find the LCM of 7119 and 7126?
Answer:
Least Common Multiple of 7119 and 7126 = 7247142
Step 1: Find the prime factorization of 7119
7119 = 3 x 3 x 7 x 113
Step 2: Find the prime factorization of 7126
7126 = 2 x 7 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7247142 = 2 x 3 x 3 x 7 x 113 x 509
Step 4: Therefore, the least common multiple of 7119 and 7126 is 7247142.