Least Common Multiple of 7657 and 7663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7657 and 7663 the smallest integer that is 58675591 that is divisible by both numbers.
Least Common Multiple (LCM) of 7657 and 7663 is 58675591.
LCM(7657,7663) = 58675591
LCM of 7657 and 7663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7657 and 7663 by Prime method
- Least Common Multiple of 7657 and 7663 with GCF Formula
LCM of 7657 and 7663 is 58675591
Least common multiple can be found by multiplying the highest exponent prime factors of 7657 and 7663. First we will calculate the prime factors of 7657 and 7663.
Prime Factorization of 7657
| 13 | 7657 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 7657 are 13, 19,31. Prime factorization of 7657 in exponential form is:
7657 = 131×191×311
Prime Factorization of 7663
| 79 | 7663 |
| 97 | 97 |
| 1 |
Prime factors of 7663 are 79,97. Prime factorization of 7663 in exponential form is:
7663 = 791×971
Now multiplying the highest exponent prime factors to calculate the LCM of 7657 and 7663.
LCM(7657,7663) = 131×191×311×791×971
LCM(7657,7663) = 58675591
Factors of 7657
List of positive integer factors of 7657 that divides 7657 without a remainder.
1, 13, 19, 31, 247, 403, 589, 7657
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1, 79, 97, 7663
Least Common Multiple of 7657 and 7663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7657 and 7663, than apply into the LCM equation.
GCF(7657,7663) = 1
LCM(7657,7663) = ( 7657 × 7663) / 1
LCM(7657,7663) = 58675591 / 1
LCM(7657,7663) = 58675591
Properties of LCM 7657 and 7663
(i) The LCM of 7663 and 7657 is associative
LCM of 7657 and 7663 = LCM of 7663 and 7657
Related Least Common Multiples of 7657
Related Least Common Multiples of 7663
Frequently Asked Questions on LCM of 7657 and 7663
1. What is the LCM of 7657 and 7663?
Answer: LCM of 7657 and 7663 is 58675591.
2. What are the Factors of 7657?
Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.
3. What are the Factors of 7663?
Answer: Factors of 7663 are 1, 79, 97, 7663. There are 4 integers that are factors of 7663. The greatest factor of 7663 is 7663.
4. How to Find the LCM of 7657 and 7663?
Answer:
Least Common Multiple of 7657 and 7663 = 58675591
Step 1: Find the prime factorization of 7657
7657 = 13 x 19 x 31
Step 2: Find the prime factorization of 7663
7663 = 79 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58675591 = 13 x 19 x 31 x 79 x 97
Step 4: Therefore, the least common multiple of 7657 and 7663 is 58675591.