Least Common Multiple of 651 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 651 and 658 the smallest integer that is 61194 that is divisible by both numbers.
Least Common Multiple (LCM) of 651 and 658 is 61194.
LCM(651,658) = 61194
LCM of 651 and 658
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 651 and 658 by Prime method
- Least Common Multiple of 651 and 658 with GCF Formula
LCM of 651 and 658 is 61194
Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 658. First we will calculate the prime factors of 651 and 658.
Prime Factorization of 651
| 3 | 651 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:
651 = 31×71×311
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 651 and 658.
LCM(651,658) = 21×31×71×311×471
LCM(651,658) = 61194
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
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 651 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 651 and 658, than apply into the LCM equation.
GCF(651,658) = 7
LCM(651,658) = ( 651 × 658) / 7
LCM(651,658) = 428358 / 7
LCM(651,658) = 61194
Properties of LCM 651 and 658
(i) The LCM of 658 and 651 is associative
LCM of 651 and 658 = LCM of 658 and 651
Related Least Common Multiples of 651
Related Least Common Multiples of 658
Frequently Asked Questions on LCM of 651 and 658
1. What is the LCM of 651 and 658?
Answer: LCM of 651 and 658 is 61194.
2. What are the Factors of 651?
Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.
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 651 and 658?
Answer:
Least Common Multiple of 651 and 658 = 61194
Step 1: Find the prime factorization of 651
651 = 3 x 7 x 31
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 = 61194 = 2 x 3 x 7 x 31 x 47
Step 4: Therefore, the least common multiple of 651 and 658 is 61194.