Least Common Multiple of 646 and 651
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 646 and 651 the smallest integer that is 420546 that is divisible by both numbers.
Least Common Multiple (LCM) of 646 and 651 is 420546.
LCM(646,651) = 420546
LCM of 646 and 651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 646 and 651 by Prime method
- Least Common Multiple of 646 and 651 with GCF Formula
LCM of 646 and 651 is 420546
Least common multiple can be found by multiplying the highest exponent prime factors of 646 and 651. First we will calculate the prime factors of 646 and 651.
Prime Factorization of 646
| 2 | 646 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 646 are 2, 17,19. Prime factorization of 646 in exponential form is:
646 = 21×171×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 646 and 651.
LCM(646,651) = 21×31×71×171×191×311
LCM(646,651) = 420546
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Least Common Multiple of 646 and 651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 646 and 651, than apply into the LCM equation.
GCF(646,651) = 1
LCM(646,651) = ( 646 × 651) / 1
LCM(646,651) = 420546 / 1
LCM(646,651) = 420546
Properties of LCM 646 and 651
(i) The LCM of 651 and 646 is associative
LCM of 646 and 651 = LCM of 651 and 646
Related Least Common Multiples of 646
Related Least Common Multiples of 651
Frequently Asked Questions on LCM of 646 and 651
1. What is the LCM of 646 and 651?
Answer: LCM of 646 and 651 is 420546.
2. What are the Factors of 646?
Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.
3. 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.
4. How to Find the LCM of 646 and 651?
Answer:
Least Common Multiple of 646 and 651 = 420546
Step 1: Find the prime factorization of 646
646 = 2 x 17 x 19
Step 2: Find the prime factorization of 651
651 = 3 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 420546 = 2 x 3 x 7 x 17 x 19 x 31
Step 4: Therefore, the least common multiple of 646 and 651 is 420546.