Least Common Multiple of 6605 and 6608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6605 and 6608 the smallest integer that is 43645840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6605 and 6608 is 43645840.

LCM(6605,6608) = 43645840

LCM of 6605 and 6608

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

LCM of:
and

Least Common Multiple of 6605 and 6608

LCM of 6605 and 6608 is 43645840

Least common multiple can be found by multiplying the highest exponent prime factors of 6605 and 6608. First we will calculate the prime factors of 6605 and 6608.

Prime Factorization of 6605


5 6605
1321 1321
1

Prime factors of 6605 are 5,1321. Prime factorization of 6605 in exponential form is:

6605 = 51×13211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6605 and 6608.

LCM(6605,6608) = 24×51×71×591×13211
LCM(6605,6608) = 43645840

Factors of 6605

List of positive integer factors of 6605 that divides 6605 without a remainder.

1, 5, 1321, 6605

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

Least Common Multiple of 6605 and 6608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6605 and 6608, than apply into the LCM equation.

GCF(6605,6608) = 1
LCM(6605,6608) = ( 6605 × 6608) / 1
LCM(6605,6608) = 43645840 / 1
LCM(6605,6608) = 43645840

Properties of LCM 6605 and 6608

(i) The LCM of 6608 and 6605 is associative

LCM of 6605 and 6608 = LCM of 6608 and 6605

Related Least Common Multiples of 6605

Related Least Common Multiples of 6608

Frequently Asked Questions on LCM of 6605 and 6608

1. What is the LCM of 6605 and 6608?

Answer: LCM of 6605 and 6608 is 43645840.

2. What are the Factors of 6605?

Answer: Factors of 6605 are 1, 5, 1321, 6605. There are 4 integers that are factors of 6605. The greatest factor of 6605 is 6605.

3. 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.

4. How to Find the LCM of 6605 and 6608?

Answer:

Least Common Multiple of 6605 and 6608 = 43645840

Step 1: Find the prime factorization of 6605

6605 = 5 x 1321

Step 2: Find the prime factorization of 6608

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

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

LCM = 43645840 = 2 x 2 x 2 x 2 x 5 x 7 x 59 x 1321

Step 4: Therefore, the least common multiple of 6605 and 6608 is 43645840.