Least Common Multiple of 7645 and 7649
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 7649 the smallest integer that is 58476605 that is divisible by both numbers.
Least Common Multiple (LCM) of 7645 and 7649 is 58476605.
LCM(7645,7649) = 58476605
LCM of 7645 and 7649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7645 and 7649 by Prime method
- Least Common Multiple of 7645 and 7649 with GCF Formula
LCM of 7645 and 7649 is 58476605
Least common multiple can be found by multiplying the highest exponent prime factors of 7645 and 7649. First we will calculate the prime factors of 7645 and 7649.
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 7649
| 7649 | 7649 |
| 1 |
Prime factors of 7649 are 7649. Prime factorization of 7649 in exponential form is:
7649 = 76491
Now multiplying the highest exponent prime factors to calculate the LCM of 7645 and 7649.
LCM(7645,7649) = 51×111×1391×76491
LCM(7645,7649) = 58476605
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 7649
List of positive integer factors of 7649 that divides 7649 without a remainder.
1, 7649
Least Common Multiple of 7645 and 7649 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 7649, than apply into the LCM equation.
GCF(7645,7649) = 1
LCM(7645,7649) = ( 7645 × 7649) / 1
LCM(7645,7649) = 58476605 / 1
LCM(7645,7649) = 58476605
Properties of LCM 7645 and 7649
(i) The LCM of 7649 and 7645 is associative
LCM of 7645 and 7649 = LCM of 7649 and 7645
Related Least Common Multiples of 7645
Related Least Common Multiples of 7649
Frequently Asked Questions on LCM of 7645 and 7649
1. What is the LCM of 7645 and 7649?
Answer: LCM of 7645 and 7649 is 58476605.
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 7649?
Answer: Factors of 7649 are 1, 7649. There are 2 integers that are factors of 7649. The greatest factor of 7649 is 7649.
4. How to Find the LCM of 7645 and 7649?
Answer:
Least Common Multiple of 7645 and 7649 = 58476605
Step 1: Find the prime factorization of 7645
7645 = 5 x 11 x 139
Step 2: Find the prime factorization of 7649
7649 = 7649
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58476605 = 5 x 11 x 139 x 7649
Step 4: Therefore, the least common multiple of 7645 and 7649 is 58476605.