Least Common Multiple of 7645 and 7653
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7645 and 7653 the smallest integer that is 58507185 that is divisible by both numbers.
Least Common Multiple (LCM) of 7645 and 7653 is 58507185.
LCM(7645,7653) = 58507185
LCM of 7645 and 7653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7645 and 7653 by Prime method
- Least Common Multiple of 7645 and 7653 with GCF Formula
LCM of 7645 and 7653 is 58507185
Least common multiple can be found by multiplying the highest exponent prime factors of 7645 and 7653. First we will calculate the prime factors of 7645 and 7653.
Prime Factorization of 7645
| 5 | 7645 |
| 11 | 1529 |
| 139 | 139 |
| 1 |
Prime factors of 7645 are 5, 11,139. Prime factorization of 7645 in exponential form is:
7645 = 51×111×1391
Prime Factorization of 7653
| 3 | 7653 |
| 2551 | 2551 |
| 1 |
Prime factors of 7653 are 3,2551. Prime factorization of 7653 in exponential form is:
7653 = 31×25511
Now multiplying the highest exponent prime factors to calculate the LCM of 7645 and 7653.
LCM(7645,7653) = 31×51×111×1391×25511
LCM(7645,7653) = 58507185
Factors of 7645
List of positive integer factors of 7645 that divides 7645 without a remainder.
1, 5, 11, 55, 139, 695, 1529, 7645
Factors of 7653
List of positive integer factors of 7653 that divides 7653 without a remainder.
1, 3, 2551, 7653
Least Common Multiple of 7645 and 7653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7645 and 7653, than apply into the LCM equation.
GCF(7645,7653) = 1
LCM(7645,7653) = ( 7645 × 7653) / 1
LCM(7645,7653) = 58507185 / 1
LCM(7645,7653) = 58507185
Properties of LCM 7645 and 7653
(i) The LCM of 7653 and 7645 is associative
LCM of 7645 and 7653 = LCM of 7653 and 7645
Related Least Common Multiples of 7645
Related Least Common Multiples of 7653
Frequently Asked Questions on LCM of 7645 and 7653
1. What is the LCM of 7645 and 7653?
Answer: LCM of 7645 and 7653 is 58507185.
2. What are the Factors of 7645?
Answer: Factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645. There are 8 integers that are factors of 7645. The greatest factor of 7645 is 7645.
3. What are the Factors of 7653?
Answer: Factors of 7653 are 1, 3, 2551, 7653. There are 4 integers that are factors of 7653. The greatest factor of 7653 is 7653.
4. How to Find the LCM of 7645 and 7653?
Answer:
Least Common Multiple of 7645 and 7653 = 58507185
Step 1: Find the prime factorization of 7645
7645 = 5 x 11 x 139
Step 2: Find the prime factorization of 7653
7653 = 3 x 2551
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58507185 = 3 x 5 x 11 x 139 x 2551
Step 4: Therefore, the least common multiple of 7645 and 7653 is 58507185.