Least Common Multiple of 7615 and 7623
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7615 and 7623 the smallest integer that is 58049145 that is divisible by both numbers.
Least Common Multiple (LCM) of 7615 and 7623 is 58049145.
LCM(7615,7623) = 58049145
LCM of 7615 and 7623
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7615 and 7623 by Prime method
- Least Common Multiple of 7615 and 7623 with GCF Formula
LCM of 7615 and 7623 is 58049145
Least common multiple can be found by multiplying the highest exponent prime factors of 7615 and 7623. First we will calculate the prime factors of 7615 and 7623.
Prime Factorization of 7615
| 5 | 7615 |
| 1523 | 1523 |
| 1 |
Prime factors of 7615 are 5,1523. Prime factorization of 7615 in exponential form is:
7615 = 51×15231
Prime Factorization of 7623
| 3 | 7623 |
| 3 | 2541 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:
7623 = 32×71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 7615 and 7623.
LCM(7615,7623) = 32×51×71×112×15231
LCM(7615,7623) = 58049145
Factors of 7615
List of positive integer factors of 7615 that divides 7615 without a remainder.
1, 5, 1523, 7615
Factors of 7623
List of positive integer factors of 7623 that divides 7623 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
Least Common Multiple of 7615 and 7623 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7615 and 7623, than apply into the LCM equation.
GCF(7615,7623) = 1
LCM(7615,7623) = ( 7615 × 7623) / 1
LCM(7615,7623) = 58049145 / 1
LCM(7615,7623) = 58049145
Properties of LCM 7615 and 7623
(i) The LCM of 7623 and 7615 is associative
LCM of 7615 and 7623 = LCM of 7623 and 7615
Related Least Common Multiples of 7615
Related Least Common Multiples of 7623
Frequently Asked Questions on LCM of 7615 and 7623
1. What is the LCM of 7615 and 7623?
Answer: LCM of 7615 and 7623 is 58049145.
2. What are the Factors of 7615?
Answer: Factors of 7615 are 1, 5, 1523, 7615. There are 4 integers that are factors of 7615. The greatest factor of 7615 is 7615.
3. What are the Factors of 7623?
Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.
4. How to Find the LCM of 7615 and 7623?
Answer:
Least Common Multiple of 7615 and 7623 = 58049145
Step 1: Find the prime factorization of 7615
7615 = 5 x 1523
Step 2: Find the prime factorization of 7623
7623 = 3 x 3 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58049145 = 3 x 3 x 5 x 7 x 11 x 11 x 1523
Step 4: Therefore, the least common multiple of 7615 and 7623 is 58049145.