Least Common Multiple of 6602 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 6602 and 6608 the smallest integer that is 21813008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6602 and 6608 is 21813008.

LCM(6602,6608) = 21813008

LCM of 6602 and 6608

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

LCM of:
and

Least Common Multiple of 6602 and 6608

LCM of 6602 and 6608 is 21813008

Least common multiple can be found by multiplying the highest exponent prime factors of 6602 and 6608. First we will calculate the prime factors of 6602 and 6608.

Prime Factorization of 6602


2 6602
3301 3301
1

Prime factors of 6602 are 2,3301. Prime factorization of 6602 in exponential form is:

6602 = 21×33011

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 6602 and 6608.

LCM(6602,6608) = 24×71×591×33011
LCM(6602,6608) = 21813008

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1, 2, 3301, 6602

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 6602 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 6602 and 6608, than apply into the LCM equation.

GCF(6602,6608) = 2
LCM(6602,6608) = ( 6602 × 6608) / 2
LCM(6602,6608) = 43626016 / 2
LCM(6602,6608) = 21813008

Properties of LCM 6602 and 6608

(i) The LCM of 6608 and 6602 is associative

LCM of 6602 and 6608 = LCM of 6608 and 6602

Related Least Common Multiples of 6602

Related Least Common Multiples of 6608

Frequently Asked Questions on LCM of 6602 and 6608

1. What is the LCM of 6602 and 6608?

Answer: LCM of 6602 and 6608 is 21813008.

2. What are the Factors of 6602?

Answer: Factors of 6602 are 1, 2, 3301, 6602. There are 4 integers that are factors of 6602. The greatest factor of 6602 is 6602.

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 6602 and 6608?

Answer:

Least Common Multiple of 6602 and 6608 = 21813008

Step 1: Find the prime factorization of 6602

6602 = 2 x 3301

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 = 21813008 = 2 x 2 x 2 x 2 x 7 x 59 x 3301

Step 4: Therefore, the least common multiple of 6602 and 6608 is 21813008.