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 661 the smallest integer that is 434938 that is divisible by both numbers.
Least Common Multiple (LCM) of 658 and 661 is 434938.
LCM(658,661) = 434938
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 661. First we will calculate the prime factors of 658 and 661.
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 661
661 | 661 |
1 |
Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:
661 = 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 658 and 661.
LCM(658,661) = 21×71×471×6611
LCM(658,661) = 434938
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 661
List of positive integer factors of 661 that divides 661 without a remainder.
1, 661
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 658 and 661, than apply into the LCM equation.
GCF(658,661) = 1
LCM(658,661) = ( 658 × 661) / 1
LCM(658,661) = 434938 / 1
LCM(658,661) = 434938
(i) The LCM of 661 and 658 is associative
LCM of 658 and 661 = LCM of 661 and 658
1. What is the LCM of 658 and 661?
Answer: LCM of 658 and 661 is 434938.
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 661?
Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.
4. How to Find the LCM of 658 and 661?
Answer:
Least Common Multiple of 658 and 661 = 434938
Step 1: Find the prime factorization of 658
658 = 2 x 7 x 47
Step 2: Find the prime factorization of 661
661 = 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 434938 = 2 x 7 x 47 x 661
Step 4: Therefore, the least common multiple of 658 and 661 is 434938.