Least Common Multiple of 7637 and 7645
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7637 and 7645 the smallest integer that is 58384865 that is divisible by both numbers.
Least Common Multiple (LCM) of 7637 and 7645 is 58384865.
LCM(7637,7645) = 58384865
LCM of 7637 and 7645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7637 and 7645 by Prime method
- Least Common Multiple of 7637 and 7645 with GCF Formula
LCM of 7637 and 7645 is 58384865
Least common multiple can be found by multiplying the highest exponent prime factors of 7637 and 7645. First we will calculate the prime factors of 7637 and 7645.
Prime Factorization of 7637
| 7 | 7637 |
| 1091 | 1091 |
| 1 |
Prime factors of 7637 are 7,1091. Prime factorization of 7637 in exponential form is:
7637 = 71×10911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7637 and 7645.
LCM(7637,7645) = 51×71×111×1391×10911
LCM(7637,7645) = 58384865
Factors of 7637
List of positive integer factors of 7637 that divides 7637 without a remainder.
1, 7, 1091, 7637
Factors of 7645
List of positive integer factors of 7645 that divides 7645 without a remainder.
1, 5, 11, 55, 139, 695, 1529, 7645
Least Common Multiple of 7637 and 7645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7637 and 7645, than apply into the LCM equation.
GCF(7637,7645) = 1
LCM(7637,7645) = ( 7637 × 7645) / 1
LCM(7637,7645) = 58384865 / 1
LCM(7637,7645) = 58384865
Properties of LCM 7637 and 7645
(i) The LCM of 7645 and 7637 is associative
LCM of 7637 and 7645 = LCM of 7645 and 7637
Related Least Common Multiples of 7637
Related Least Common Multiples of 7645
Frequently Asked Questions on LCM of 7637 and 7645
1. What is the LCM of 7637 and 7645?
Answer: LCM of 7637 and 7645 is 58384865.
2. What are the Factors of 7637?
Answer: Factors of 7637 are 1, 7, 1091, 7637. There are 4 integers that are factors of 7637. The greatest factor of 7637 is 7637.
3. 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.
4. How to Find the LCM of 7637 and 7645?
Answer:
Least Common Multiple of 7637 and 7645 = 58384865
Step 1: Find the prime factorization of 7637
7637 = 7 x 1091
Step 2: Find the prime factorization of 7645
7645 = 5 x 11 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58384865 = 5 x 7 x 11 x 139 x 1091
Step 4: Therefore, the least common multiple of 7637 and 7645 is 58384865.