Least Common Multiple of 655 and 658
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 655 and 658 the smallest integer that is 430990 that is divisible by both numbers.
Least Common Multiple (LCM) of 655 and 658 is 430990.
LCM(655,658) = 430990
LCM of 655 and 658
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 655 and 658 by Prime method
- Least Common Multiple of 655 and 658 with GCF Formula
LCM of 655 and 658 is 430990
Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 658. First we will calculate the prime factors of 655 and 658.
Prime Factorization of 655
| 5 | 655 |
| 131 | 131 |
| 1 |
Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:
655 = 51×1311
Prime Factorization of 658
| 2 | 658 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:
658 = 21×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 658.
LCM(655,658) = 21×51×71×471×1311
LCM(655,658) = 430990
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Least Common Multiple of 655 and 658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 658, than apply into the LCM equation.
GCF(655,658) = 1
LCM(655,658) = ( 655 × 658) / 1
LCM(655,658) = 430990 / 1
LCM(655,658) = 430990
Properties of LCM 655 and 658
(i) The LCM of 658 and 655 is associative
LCM of 655 and 658 = LCM of 658 and 655
Related Least Common Multiples of 655
Related Least Common Multiples of 658
Frequently Asked Questions on LCM of 655 and 658
1. What is the LCM of 655 and 658?
Answer: LCM of 655 and 658 is 430990.
2. What are the Factors of 655?
Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.
3. What are the Factors of 658?
Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.
4. How to Find the LCM of 655 and 658?
Answer:
Least Common Multiple of 655 and 658 = 430990
Step 1: Find the prime factorization of 655
655 = 5 x 131
Step 2: Find the prime factorization of 658
658 = 2 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 430990 = 2 x 5 x 7 x 47 x 131
Step 4: Therefore, the least common multiple of 655 and 658 is 430990.