Least Common Multiple of 6603 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 6603 and 6608 the smallest integer that is 43632624 that is divisible by both numbers.

Least Common Multiple (LCM) of 6603 and 6608 is 43632624.

LCM(6603,6608) = 43632624

LCM of 6603 and 6608

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

LCM of:
and

Least Common Multiple of 6603 and 6608

LCM of 6603 and 6608 is 43632624

Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6608. First we will calculate the prime factors of 6603 and 6608.

Prime Factorization of 6603


3 6603
31 2201
71 71
1

Prime factors of 6603 are 3, 31,71. Prime factorization of 6603 in exponential form is:

6603 = 31×311×711

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 6603 and 6608.

LCM(6603,6608) = 24×31×71×311×591×711
LCM(6603,6608) = 43632624

Factors of 6603

List of positive integer factors of 6603 that divides 6603 without a remainder.

1, 3, 31, 71, 93, 213, 2201, 6603

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 6603 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 6603 and 6608, than apply into the LCM equation.

GCF(6603,6608) = 1
LCM(6603,6608) = ( 6603 × 6608) / 1
LCM(6603,6608) = 43632624 / 1
LCM(6603,6608) = 43632624

Properties of LCM 6603 and 6608

(i) The LCM of 6608 and 6603 is associative

LCM of 6603 and 6608 = LCM of 6608 and 6603

Related Least Common Multiples of 6603

Related Least Common Multiples of 6608

Frequently Asked Questions on LCM of 6603 and 6608

1. What is the LCM of 6603 and 6608?

Answer: LCM of 6603 and 6608 is 43632624.

2. What are the Factors of 6603?

Answer: Factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603. There are 8 integers that are factors of 6603. The greatest factor of 6603 is 6603.

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 6603 and 6608?

Answer:

Least Common Multiple of 6603 and 6608 = 43632624

Step 1: Find the prime factorization of 6603

6603 = 3 x 31 x 71

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 = 43632624 = 2 x 2 x 2 x 2 x 3 x 7 x 31 x 59 x 71

Step 4: Therefore, the least common multiple of 6603 and 6608 is 43632624.