Least Common Multiple of 6604 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 6604 and 6608 the smallest integer that is 10909808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6604 and 6608 is 10909808.

LCM(6604,6608) = 10909808

LCM of 6604 and 6608

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

LCM of:
and

Least Common Multiple of 6604 and 6608

LCM of 6604 and 6608 is 10909808

Least common multiple can be found by multiplying the highest exponent prime factors of 6604 and 6608. First we will calculate the prime factors of 6604 and 6608.

Prime Factorization of 6604


2 6604
2 3302
13 1651
127 127
1

Prime factors of 6604 are 2, 13,127. Prime factorization of 6604 in exponential form is:

6604 = 22×131×1271

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 6604 and 6608.

LCM(6604,6608) = 24×71×131×591×1271
LCM(6604,6608) = 10909808

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604

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 6604 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 6604 and 6608, than apply into the LCM equation.

GCF(6604,6608) = 4
LCM(6604,6608) = ( 6604 × 6608) / 4
LCM(6604,6608) = 43639232 / 4
LCM(6604,6608) = 10909808

Properties of LCM 6604 and 6608

(i) The LCM of 6608 and 6604 is associative

LCM of 6604 and 6608 = LCM of 6608 and 6604

Related Least Common Multiples of 6604

Related Least Common Multiples of 6608

Frequently Asked Questions on LCM of 6604 and 6608

1. What is the LCM of 6604 and 6608?

Answer: LCM of 6604 and 6608 is 10909808.

2. What are the Factors of 6604?

Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.

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 6604 and 6608?

Answer:

Least Common Multiple of 6604 and 6608 = 10909808

Step 1: Find the prime factorization of 6604

6604 = 2 x 2 x 13 x 127

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 = 10909808 = 2 x 2 x 2 x 2 x 7 x 13 x 59 x 127

Step 4: Therefore, the least common multiple of 6604 and 6608 is 10909808.