Least Common Multiple of 6629 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 6629 and 6633 the smallest integer that is 43970157 that is divisible by both numbers.
Least Common Multiple (LCM) of 6629 and 6633 is 43970157.
LCM(6629,6633) = 43970157
LCM of 6629 and 6633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6629 and 6633 by Prime method
- Least Common Multiple of 6629 and 6633 with GCF Formula
LCM of 6629 and 6633 is 43970157
Least common multiple can be found by multiplying the highest exponent prime factors of 6629 and 6633. First we will calculate the prime factors of 6629 and 6633.
Prime Factorization of 6629
| 7 | 6629 |
| 947 | 947 |
| 1 |
Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:
6629 = 71×9471
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 6629 and 6633.
LCM(6629,6633) = 32×71×111×671×9471
LCM(6629,6633) = 43970157
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1, 7, 947, 6629
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 6629 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 6629 and 6633, than apply into the LCM equation.
GCF(6629,6633) = 1
LCM(6629,6633) = ( 6629 × 6633) / 1
LCM(6629,6633) = 43970157 / 1
LCM(6629,6633) = 43970157
Properties of LCM 6629 and 6633
(i) The LCM of 6633 and 6629 is associative
LCM of 6629 and 6633 = LCM of 6633 and 6629
Related Least Common Multiples of 6629
Related Least Common Multiples of 6633
Frequently Asked Questions on LCM of 6629 and 6633
1. What is the LCM of 6629 and 6633?
Answer: LCM of 6629 and 6633 is 43970157.
2. What are the Factors of 6629?
Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.
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 6629 and 6633?
Answer:
Least Common Multiple of 6629 and 6633 = 43970157
Step 1: Find the prime factorization of 6629
6629 = 7 x 947
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 = 43970157 = 3 x 3 x 7 x 11 x 67 x 947
Step 4: Therefore, the least common multiple of 6629 and 6633 is 43970157.