Least Common Multiple of 643 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 643 and 647 the smallest integer that is 416021 that is divisible by both numbers.
Least Common Multiple (LCM) of 643 and 647 is 416021.
LCM(643,647) = 416021
LCM of 643 and 647
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 643 and 647 by Prime method
- Least Common Multiple of 643 and 647 with GCF Formula
LCM of 643 and 647 is 416021
Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 647. First we will calculate the prime factors of 643 and 647.
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 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 643 and 647.
LCM(643,647) = 6431×6471
LCM(643,647) = 416021
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1, 643
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1, 647
Least Common Multiple of 643 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 643 and 647, than apply into the LCM equation.
GCF(643,647) = 1
LCM(643,647) = ( 643 × 647) / 1
LCM(643,647) = 416021 / 1
LCM(643,647) = 416021
Properties of LCM 643 and 647
(i) The LCM of 647 and 643 is associative
LCM of 643 and 647 = LCM of 647 and 643
Related Least Common Multiples of 643
Related Least Common Multiples of 647
Frequently Asked Questions on LCM of 643 and 647
1. What is the LCM of 643 and 647?
Answer: LCM of 643 and 647 is 416021.
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 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 643 and 647?
Answer:
Least Common Multiple of 643 and 647 = 416021
Step 1: Find the prime factorization of 643
643 = 643
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 = 416021 = 643 x 647
Step 4: Therefore, the least common multiple of 643 and 647 is 416021.
