Least Common Multiple of 6630 and 6635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6630 and 6635 the smallest integer that is 8798010 that is divisible by both numbers.
Least Common Multiple (LCM) of 6630 and 6635 is 8798010.
LCM(6630,6635) = 8798010
LCM of 6630 and 6635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6630 and 6635 by Prime method
- Least Common Multiple of 6630 and 6635 with GCF Formula
LCM of 6630 and 6635 is 8798010
Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6635. First we will calculate the prime factors of 6630 and 6635.
Prime Factorization of 6630
| 2 | 6630 |
| 3 | 3315 |
| 5 | 1105 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 6630 are 2, 3, 5, 13,17. Prime factorization of 6630 in exponential form is:
6630 = 21×31×51×131×171
Prime Factorization of 6635
| 5 | 6635 |
| 1327 | 1327 |
| 1 |
Prime factors of 6635 are 5,1327. Prime factorization of 6635 in exponential form is:
6635 = 51×13271
Now multiplying the highest exponent prime factors to calculate the LCM of 6630 and 6635.
LCM(6630,6635) = 21×31×51×131×171×13271
LCM(6630,6635) = 8798010
Factors of 6630
List of positive integer factors of 6630 that divides 6630 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
Factors of 6635
List of positive integer factors of 6635 that divides 6635 without a remainder.
1, 5, 1327, 6635
Least Common Multiple of 6630 and 6635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6630 and 6635, than apply into the LCM equation.
GCF(6630,6635) = 5
LCM(6630,6635) = ( 6630 × 6635) / 5
LCM(6630,6635) = 43990050 / 5
LCM(6630,6635) = 8798010
Properties of LCM 6630 and 6635
(i) The LCM of 6635 and 6630 is associative
LCM of 6630 and 6635 = LCM of 6635 and 6630
Related Least Common Multiples of 6630
Related Least Common Multiples of 6635
Frequently Asked Questions on LCM of 6630 and 6635
1. What is the LCM of 6630 and 6635?
Answer: LCM of 6630 and 6635 is 8798010.
2. What are the Factors of 6630?
Answer: Factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630. There are 32 integers that are factors of 6630. The greatest factor of 6630 is 6630.
3. What are the Factors of 6635?
Answer: Factors of 6635 are 1, 5, 1327, 6635. There are 4 integers that are factors of 6635. The greatest factor of 6635 is 6635.
4. How to Find the LCM of 6630 and 6635?
Answer:
Least Common Multiple of 6630 and 6635 = 8798010
Step 1: Find the prime factorization of 6630
6630 = 2 x 3 x 5 x 13 x 17
Step 2: Find the prime factorization of 6635
6635 = 5 x 1327
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8798010 = 2 x 3 x 5 x 13 x 17 x 1327
Step 4: Therefore, the least common multiple of 6630 and 6635 is 8798010.