Least Common Multiple of 643 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 643 and 646 the smallest integer that is 415378 that is divisible by both numbers.
Least Common Multiple (LCM) of 643 and 646 is 415378.
LCM(643,646) = 415378
LCM of 643 and 646
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 643 and 646 by Prime method
- Least Common Multiple of 643 and 646 with GCF Formula
LCM of 643 and 646 is 415378
Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 646. First we will calculate the prime factors of 643 and 646.
Prime Factorization of 643
| 643 | 643 |
| 1 |
Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:
643 = 6431
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 643 and 646.
LCM(643,646) = 21×171×191×6431
LCM(643,646) = 415378
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1, 643
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 643 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 643 and 646, than apply into the LCM equation.
GCF(643,646) = 1
LCM(643,646) = ( 643 × 646) / 1
LCM(643,646) = 415378 / 1
LCM(643,646) = 415378
Properties of LCM 643 and 646
(i) The LCM of 646 and 643 is associative
LCM of 643 and 646 = LCM of 646 and 643
Related Least Common Multiples of 643
Related Least Common Multiples of 646
Frequently Asked Questions on LCM of 643 and 646
1. What is the LCM of 643 and 646?
Answer: LCM of 643 and 646 is 415378.
2. What are the Factors of 643?
Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.
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 643 and 646?
Answer:
Least Common Multiple of 643 and 646 = 415378
Step 1: Find the prime factorization of 643
643 = 643
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 = 415378 = 2 x 17 x 19 x 643
Step 4: Therefore, the least common multiple of 643 and 646 is 415378.
