Least Common Multiple of 641 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 641 and 649 the smallest integer that is 416009 that is divisible by both numbers.
Least Common Multiple (LCM) of 641 and 649 is 416009.
LCM(641,649) = 416009
LCM of 641 and 649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 641 and 649 by Prime method
- Least Common Multiple of 641 and 649 with GCF Formula
LCM of 641 and 649 is 416009
Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 649. First we will calculate the prime factors of 641 and 649.
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 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 641 and 649.
LCM(641,649) = 111×591×6411
LCM(641,649) = 416009
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1, 641
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Least Common Multiple of 641 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 641 and 649, than apply into the LCM equation.
GCF(641,649) = 1
LCM(641,649) = ( 641 × 649) / 1
LCM(641,649) = 416009 / 1
LCM(641,649) = 416009
Properties of LCM 641 and 649
(i) The LCM of 649 and 641 is associative
LCM of 641 and 649 = LCM of 649 and 641
Related Least Common Multiples of 641
Related Least Common Multiples of 649
Frequently Asked Questions on LCM of 641 and 649
1. What is the LCM of 641 and 649?
Answer: LCM of 641 and 649 is 416009.
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 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 641 and 649?
Answer:
Least Common Multiple of 641 and 649 = 416009
Step 1: Find the prime factorization of 641
641 = 641
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 = 416009 = 11 x 59 x 641
Step 4: Therefore, the least common multiple of 641 and 649 is 416009.
