Least Common Multiple of 6633 and 6638
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6633 and 6638 the smallest integer that is 44029854 that is divisible by both numbers.
Least Common Multiple (LCM) of 6633 and 6638 is 44029854.
LCM(6633,6638) = 44029854
LCM of 6633 and 6638
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6633 and 6638 by Prime method
- Least Common Multiple of 6633 and 6638 with GCF Formula
LCM of 6633 and 6638 is 44029854
Least common multiple can be found by multiplying the highest exponent prime factors of 6633 and 6638. First we will calculate the prime factors of 6633 and 6638.
Prime Factorization of 6633
| 3 | 6633 |
| 3 | 2211 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 6633 are 3, 11,67. Prime factorization of 6633 in exponential form is:
6633 = 32×111×671
Prime Factorization of 6638
| 2 | 6638 |
| 3319 | 3319 |
| 1 |
Prime factors of 6638 are 2,3319. Prime factorization of 6638 in exponential form is:
6638 = 21×33191
Now multiplying the highest exponent prime factors to calculate the LCM of 6633 and 6638.
LCM(6633,6638) = 21×32×111×671×33191
LCM(6633,6638) = 44029854
Factors of 6633
List of positive integer factors of 6633 that divides 6633 without a remainder.
1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633
Factors of 6638
List of positive integer factors of 6638 that divides 6638 without a remainder.
1, 2, 3319, 6638
Least Common Multiple of 6633 and 6638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6633 and 6638, than apply into the LCM equation.
GCF(6633,6638) = 1
LCM(6633,6638) = ( 6633 × 6638) / 1
LCM(6633,6638) = 44029854 / 1
LCM(6633,6638) = 44029854
Properties of LCM 6633 and 6638
(i) The LCM of 6638 and 6633 is associative
LCM of 6633 and 6638 = LCM of 6638 and 6633
Related Least Common Multiples of 6633
Related Least Common Multiples of 6638
Frequently Asked Questions on LCM of 6633 and 6638
1. What is the LCM of 6633 and 6638?
Answer: LCM of 6633 and 6638 is 44029854.
2. What are the Factors of 6633?
Answer: Factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633. There are 12 integers that are factors of 6633. The greatest factor of 6633 is 6633.
3. What are the Factors of 6638?
Answer: Factors of 6638 are 1, 2, 3319, 6638. There are 4 integers that are factors of 6638. The greatest factor of 6638 is 6638.
4. How to Find the LCM of 6633 and 6638?
Answer:
Least Common Multiple of 6633 and 6638 = 44029854
Step 1: Find the prime factorization of 6633
6633 = 3 x 3 x 11 x 67
Step 2: Find the prime factorization of 6638
6638 = 2 x 3319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44029854 = 2 x 3 x 3 x 11 x 67 x 3319
Step 4: Therefore, the least common multiple of 6633 and 6638 is 44029854.