Least Common Multiple of 643 and 649
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 649 the smallest integer that is 417307 that is divisible by both numbers.
Least Common Multiple (LCM) of 643 and 649 is 417307.
LCM(643,649) = 417307
LCM of 643 and 649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 643 and 649 by Prime method
- Least Common Multiple of 643 and 649 with GCF Formula
LCM of 643 and 649 is 417307
Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 649. First we will calculate the prime factors of 643 and 649.
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 649
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:
649 = 111×591
Now multiplying the highest exponent prime factors to calculate the LCM of 643 and 649.
LCM(643,649) = 111×591×6431
LCM(643,649) = 417307
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1, 643
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Least Common Multiple of 643 and 649 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 649, than apply into the LCM equation.
GCF(643,649) = 1
LCM(643,649) = ( 643 × 649) / 1
LCM(643,649) = 417307 / 1
LCM(643,649) = 417307
Properties of LCM 643 and 649
(i) The LCM of 649 and 643 is associative
LCM of 643 and 649 = LCM of 649 and 643
Related Least Common Multiples of 643
Related Least Common Multiples of 649
Frequently Asked Questions on LCM of 643 and 649
1. What is the LCM of 643 and 649?
Answer: LCM of 643 and 649 is 417307.
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 649?
Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.
4. How to Find the LCM of 643 and 649?
Answer:
Least Common Multiple of 643 and 649 = 417307
Step 1: Find the prime factorization of 643
643 = 643
Step 2: Find the prime factorization of 649
649 = 11 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 417307 = 11 x 59 x 643
Step 4: Therefore, the least common multiple of 643 and 649 is 417307.
