Least Common Multiple of 7658 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 7658 and 7663 the smallest integer that is 58683254 that is divisible by both numbers.
Least Common Multiple (LCM) of 7658 and 7663 is 58683254.
LCM(7658,7663) = 58683254
LCM of 7658 and 7663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7658 and 7663 by Prime method
- Least Common Multiple of 7658 and 7663 with GCF Formula
LCM of 7658 and 7663 is 58683254
Least common multiple can be found by multiplying the highest exponent prime factors of 7658 and 7663. First we will calculate the prime factors of 7658 and 7663.
Prime Factorization of 7658
| 2 | 7658 |
| 7 | 3829 |
| 547 | 547 |
| 1 |
Prime factors of 7658 are 2, 7,547. Prime factorization of 7658 in exponential form is:
7658 = 21×71×5471
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 7658 and 7663.
LCM(7658,7663) = 21×71×791×971×5471
LCM(7658,7663) = 58683254
Factors of 7658
List of positive integer factors of 7658 that divides 7658 without a remainder.
1, 2, 7, 14, 547, 1094, 3829, 7658
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1, 79, 97, 7663
Least Common Multiple of 7658 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 7658 and 7663, than apply into the LCM equation.
GCF(7658,7663) = 1
LCM(7658,7663) = ( 7658 × 7663) / 1
LCM(7658,7663) = 58683254 / 1
LCM(7658,7663) = 58683254
Properties of LCM 7658 and 7663
(i) The LCM of 7663 and 7658 is associative
LCM of 7658 and 7663 = LCM of 7663 and 7658
Related Least Common Multiples of 7658
Related Least Common Multiples of 7663
Frequently Asked Questions on LCM of 7658 and 7663
1. What is the LCM of 7658 and 7663?
Answer: LCM of 7658 and 7663 is 58683254.
2. What are the Factors of 7658?
Answer: Factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658. There are 8 integers that are factors of 7658. The greatest factor of 7658 is 7658.
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 7658 and 7663?
Answer:
Least Common Multiple of 7658 and 7663 = 58683254
Step 1: Find the prime factorization of 7658
7658 = 2 x 7 x 547
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 = 58683254 = 2 x 7 x 79 x 97 x 547
Step 4: Therefore, the least common multiple of 7658 and 7663 is 58683254.