Least Common Multiple of 647 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 647 and 649 the smallest integer that is 419903 that is divisible by both numbers.
Least Common Multiple (LCM) of 647 and 649 is 419903.
LCM(647,649) = 419903
LCM of 647 and 649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 647 and 649 by Prime method
- Least Common Multiple of 647 and 649 with GCF Formula
LCM of 647 and 649 is 419903
Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 649. First we will calculate the prime factors of 647 and 649.
Prime Factorization of 647
| 647 | 647 |
| 1 |
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
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 647 and 649.
LCM(647,649) = 111×591×6471
LCM(647,649) = 419903
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1, 647
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Least Common Multiple of 647 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 647 and 649, than apply into the LCM equation.
GCF(647,649) = 1
LCM(647,649) = ( 647 × 649) / 1
LCM(647,649) = 419903 / 1
LCM(647,649) = 419903
Properties of LCM 647 and 649
(i) The LCM of 649 and 647 is associative
LCM of 647 and 649 = LCM of 649 and 647
Related Least Common Multiples of 647
Related Least Common Multiples of 649
Frequently Asked Questions on LCM of 647 and 649
1. What is the LCM of 647 and 649?
Answer: LCM of 647 and 649 is 419903.
2. 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.
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 647 and 649?
Answer:
Least Common Multiple of 647 and 649 = 419903
Step 1: Find the prime factorization of 647
647 = 647
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 = 419903 = 11 x 59 x 647
Step 4: Therefore, the least common multiple of 647 and 649 is 419903.