Least Common Multiple of 646 and 647
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 647 the smallest integer that is 417962 that is divisible by both numbers.
Least Common Multiple (LCM) of 646 and 647 is 417962.
LCM(646,647) = 417962
LCM of 646 and 647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 646 and 647 by Prime method
- Least Common Multiple of 646 and 647 with GCF Formula
LCM of 646 and 647 is 417962
Least common multiple can be found by multiplying the highest exponent prime factors of 646 and 647. First we will calculate the prime factors of 646 and 647.
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 647
| 647 | 647 |
| 1 |
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 646 and 647.
LCM(646,647) = 21×171×191×6471
LCM(646,647) = 417962
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 647
List of positive integer factors of 647 that divides 647 without a remainder.
1, 647
Least Common Multiple of 646 and 647 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 647, than apply into the LCM equation.
GCF(646,647) = 1
LCM(646,647) = ( 646 × 647) / 1
LCM(646,647) = 417962 / 1
LCM(646,647) = 417962
Properties of LCM 646 and 647
(i) The LCM of 647 and 646 is associative
LCM of 646 and 647 = LCM of 647 and 646
Related Least Common Multiples of 646
Related Least Common Multiples of 647
Frequently Asked Questions on LCM of 646 and 647
1. What is the LCM of 646 and 647?
Answer: LCM of 646 and 647 is 417962.
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 647?
Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.
4. How to Find the LCM of 646 and 647?
Answer:
Least Common Multiple of 646 and 647 = 417962
Step 1: Find the prime factorization of 646
646 = 2 x 17 x 19
Step 2: Find the prime factorization of 647
647 = 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 417962 = 2 x 17 x 19 x 647
Step 4: Therefore, the least common multiple of 646 and 647 is 417962.
