Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6615 and 6620 the smallest integer that is 8758260 that is divisible by both numbers.
Least Common Multiple (LCM) of 6615 and 6620 is 8758260.
LCM(6615,6620) = 8758260
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6615 and 6620. First we will calculate the prime factors of 6615 and 6620.
Prime Factorization of 6615
3 | 6615 |
3 | 2205 |
3 | 735 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 6615 are 3, 5,7. Prime factorization of 6615 in exponential form is:
6615 = 33×51×72
Prime Factorization of 6620
2 | 6620 |
2 | 3310 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 6620 are 2, 5,331. Prime factorization of 6620 in exponential form is:
6620 = 22×51×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 6615 and 6620.
LCM(6615,6620) = 22×33×51×72×3311
LCM(6615,6620) = 8758260
Factors of 6615
List of positive integer factors of 6615 that divides 6615 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
Factors of 6620
List of positive integer factors of 6620 that divides 6620 without a remainder.
1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6615 and 6620, than apply into the LCM equation.
GCF(6615,6620) = 5
LCM(6615,6620) = ( 6615 × 6620) / 5
LCM(6615,6620) = 43791300 / 5
LCM(6615,6620) = 8758260
(i) The LCM of 6620 and 6615 is associative
LCM of 6615 and 6620 = LCM of 6620 and 6615
1. What is the LCM of 6615 and 6620?
Answer: LCM of 6615 and 6620 is 8758260.
2. What are the Factors of 6615?
Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.
3. What are the Factors of 6620?
Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.
4. How to Find the LCM of 6615 and 6620?
Answer:
Least Common Multiple of 6615 and 6620 = 8758260
Step 1: Find the prime factorization of 6615
6615 = 3 x 3 x 3 x 5 x 7 x 7
Step 2: Find the prime factorization of 6620
6620 = 2 x 2 x 5 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8758260 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 331
Step 4: Therefore, the least common multiple of 6615 and 6620 is 8758260.