Least Common Multiple of 641 and 646
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 641 and 646 the smallest integer that is 414086 that is divisible by both numbers.
Least Common Multiple (LCM) of 641 and 646 is 414086.
LCM(641,646) = 414086
LCM of 641 and 646
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 641 and 646 by Prime method
- Least Common Multiple of 641 and 646 with GCF Formula
LCM of 641 and 646 is 414086
Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 646. First we will calculate the prime factors of 641 and 646.
Prime Factorization of 641
| 641 | 641 |
| 1 |
Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:
641 = 6411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 646.
LCM(641,646) = 21×171×191×6411
LCM(641,646) = 414086
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1, 641
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Least Common Multiple of 641 and 646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 641 and 646, than apply into the LCM equation.
GCF(641,646) = 1
LCM(641,646) = ( 641 × 646) / 1
LCM(641,646) = 414086 / 1
LCM(641,646) = 414086
Properties of LCM 641 and 646
(i) The LCM of 646 and 641 is associative
LCM of 641 and 646 = LCM of 646 and 641
Related Least Common Multiples of 641
Related Least Common Multiples of 646
Frequently Asked Questions on LCM of 641 and 646
1. What is the LCM of 641 and 646?
Answer: LCM of 641 and 646 is 414086.
2. What are the Factors of 641?
Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.
3. 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.
4. How to Find the LCM of 641 and 646?
Answer:
Least Common Multiple of 641 and 646 = 414086
Step 1: Find the prime factorization of 641
641 = 641
Step 2: Find the prime factorization of 646
646 = 2 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 414086 = 2 x 17 x 19 x 641
Step 4: Therefore, the least common multiple of 641 and 646 is 414086.
