Least Common Multiple of 6626 and 6633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6626 and 6633 the smallest integer that is 43950258 that is divisible by both numbers.
Least Common Multiple (LCM) of 6626 and 6633 is 43950258.
LCM(6626,6633) = 43950258
LCM of 6626 and 6633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6626 and 6633 by Prime method
- Least Common Multiple of 6626 and 6633 with GCF Formula
LCM of 6626 and 6633 is 43950258
Least common multiple can be found by multiplying the highest exponent prime factors of 6626 and 6633. First we will calculate the prime factors of 6626 and 6633.
Prime Factorization of 6626
| 2 | 6626 |
| 3313 | 3313 |
| 1 |
Prime factors of 6626 are 2,3313. Prime factorization of 6626 in exponential form is:
6626 = 21×33131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6626 and 6633.
LCM(6626,6633) = 21×32×111×671×33131
LCM(6626,6633) = 43950258
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1, 2, 3313, 6626
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
Least Common Multiple of 6626 and 6633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6626 and 6633, than apply into the LCM equation.
GCF(6626,6633) = 1
LCM(6626,6633) = ( 6626 × 6633) / 1
LCM(6626,6633) = 43950258 / 1
LCM(6626,6633) = 43950258
Properties of LCM 6626 and 6633
(i) The LCM of 6633 and 6626 is associative
LCM of 6626 and 6633 = LCM of 6633 and 6626
Related Least Common Multiples of 6626
Related Least Common Multiples of 6633
Frequently Asked Questions on LCM of 6626 and 6633
1. What is the LCM of 6626 and 6633?
Answer: LCM of 6626 and 6633 is 43950258.
2. What are the Factors of 6626?
Answer: Factors of 6626 are 1, 2, 3313, 6626. There are 4 integers that are factors of 6626. The greatest factor of 6626 is 6626.
3. 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.
4. How to Find the LCM of 6626 and 6633?
Answer:
Least Common Multiple of 6626 and 6633 = 43950258
Step 1: Find the prime factorization of 6626
6626 = 2 x 3313
Step 2: Find the prime factorization of 6633
6633 = 3 x 3 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43950258 = 2 x 3 x 3 x 11 x 67 x 3313
Step 4: Therefore, the least common multiple of 6626 and 6633 is 43950258.