Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 658 and 662 the smallest integer that is 217798 that is divisible by both numbers.
Least Common Multiple (LCM) of 658 and 662 is 217798.
LCM(658,662) = 217798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 658 and 662. First we will calculate the prime factors of 658 and 662.
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
Prime Factorization of 662
2 | 662 |
331 | 331 |
1 |
Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:
662 = 21×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 662.
LCM(658,662) = 21×71×471×3311
LCM(658,662) = 217798
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1, 2, 331, 662
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 658 and 662, than apply into the LCM equation.
GCF(658,662) = 2
LCM(658,662) = ( 658 × 662) / 2
LCM(658,662) = 435596 / 2
LCM(658,662) = 217798
(i) The LCM of 662 and 658 is associative
LCM of 658 and 662 = LCM of 662 and 658
1. What is the LCM of 658 and 662?
Answer: LCM of 658 and 662 is 217798.
2. 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.
3. What are the Factors of 662?
Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.
4. How to Find the LCM of 658 and 662?
Answer:
Least Common Multiple of 658 and 662 = 217798
Step 1: Find the prime factorization of 658
658 = 2 x 7 x 47
Step 2: Find the prime factorization of 662
662 = 2 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 217798 = 2 x 7 x 47 x 331
Step 4: Therefore, the least common multiple of 658 and 662 is 217798.