Least Common Multiple of 6608 and 6615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6608 and 6615 the smallest integer that is 6244560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6608 and 6615 is 6244560.

LCM(6608,6615) = 6244560

LCM of 6608 and 6615

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6608 and 6615

LCM of 6608 and 6615 is 6244560

Least common multiple can be found by multiplying the highest exponent prime factors of 6608 and 6615. First we will calculate the prime factors of 6608 and 6615.

Prime Factorization of 6608


2 6608
2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 6608 are 2, 7,59. Prime factorization of 6608 in exponential form is:

6608 = 24×71×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6608 and 6615.

LCM(6608,6615) = 24×33×51×72×591
LCM(6608,6615) = 6244560

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608

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

Least Common Multiple of 6608 and 6615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6608 and 6615, than apply into the LCM equation.

GCF(6608,6615) = 7
LCM(6608,6615) = ( 6608 × 6615) / 7
LCM(6608,6615) = 43711920 / 7
LCM(6608,6615) = 6244560

Properties of LCM 6608 and 6615

(i) The LCM of 6615 and 6608 is associative

LCM of 6608 and 6615 = LCM of 6615 and 6608

Related Least Common Multiples of 6608

Related Least Common Multiples of 6615

Frequently Asked Questions on LCM of 6608 and 6615

1. What is the LCM of 6608 and 6615?

Answer: LCM of 6608 and 6615 is 6244560.

2. What are the Factors of 6608?

Answer: Factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608. There are 20 integers that are factors of 6608. The greatest factor of 6608 is 6608.

3. 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.

4. How to Find the LCM of 6608 and 6615?

Answer:

Least Common Multiple of 6608 and 6615 = 6244560

Step 1: Find the prime factorization of 6608

6608 = 2 x 2 x 2 x 2 x 7 x 59

Step 2: Find the prime factorization of 6615

6615 = 3 x 3 x 3 x 5 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6244560 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 59

Step 4: Therefore, the least common multiple of 6608 and 6615 is 6244560.