Least Common Multiple of 638 and 643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 638 and 643 the smallest integer that is 410234 that is divisible by both numbers.
Least Common Multiple (LCM) of 638 and 643 is 410234.
LCM(638,643) = 410234
LCM of 638 and 643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 638 and 643 by Prime method
- Least Common Multiple of 638 and 643 with GCF Formula
LCM of 638 and 643 is 410234
Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 643. First we will calculate the prime factors of 638 and 643.
Prime Factorization of 638
| 2 | 638 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 638 are 2, 11,29. Prime factorization of 638 in exponential form is:
638 = 21×111×291
Prime Factorization of 643
| 643 | 643 |
| 1 |
Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:
643 = 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 643.
LCM(638,643) = 21×111×291×6431
LCM(638,643) = 410234
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1, 643
Least Common Multiple of 638 and 643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 638 and 643, than apply into the LCM equation.
GCF(638,643) = 1
LCM(638,643) = ( 638 × 643) / 1
LCM(638,643) = 410234 / 1
LCM(638,643) = 410234
Properties of LCM 638 and 643
(i) The LCM of 643 and 638 is associative
LCM of 638 and 643 = LCM of 643 and 638
Related Least Common Multiples of 638
Related Least Common Multiples of 643
Frequently Asked Questions on LCM of 638 and 643
1. What is the LCM of 638 and 643?
Answer: LCM of 638 and 643 is 410234.
2. What are the Factors of 638?
Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.
3. 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.
4. How to Find the LCM of 638 and 643?
Answer:
Least Common Multiple of 638 and 643 = 410234
Step 1: Find the prime factorization of 638
638 = 2 x 11 x 29
Step 2: Find the prime factorization of 643
643 = 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 410234 = 2 x 11 x 29 x 643
Step 4: Therefore, the least common multiple of 638 and 643 is 410234.
