Least Common Multiple of 6604 and 6610

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 6610 the smallest integer that is 21826220 that is divisible by both numbers.

Least Common Multiple (LCM) of 6604 and 6610 is 21826220.

LCM(6604,6610) = 21826220

LCM of 6604 and 6610

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

LCM of:
and

Least Common Multiple of 6604 and 6610

LCM of 6604 and 6610 is 21826220

Least common multiple can be found by multiplying the highest exponent prime factors of 6604 and 6610. First we will calculate the prime factors of 6604 and 6610.

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 6610


2 6610
5 3305
661 661
1

Prime factors of 6610 are 2, 5,661. Prime factorization of 6610 in exponential form is:

6610 = 21×51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 6604 and 6610.

LCM(6604,6610) = 22×51×131×1271×6611
LCM(6604,6610) = 21826220

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 6610

List of positive integer factors of 6610 that divides 6610 without a remainder.

1, 2, 5, 10, 661, 1322, 3305, 6610

Least Common Multiple of 6604 and 6610 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 6610, than apply into the LCM equation.

GCF(6604,6610) = 2
LCM(6604,6610) = ( 6604 × 6610) / 2
LCM(6604,6610) = 43652440 / 2
LCM(6604,6610) = 21826220

Properties of LCM 6604 and 6610

(i) The LCM of 6610 and 6604 is associative

LCM of 6604 and 6610 = LCM of 6610 and 6604

Related Least Common Multiples of 6604

Related Least Common Multiples of 6610

Frequently Asked Questions on LCM of 6604 and 6610

1. What is the LCM of 6604 and 6610?

Answer: LCM of 6604 and 6610 is 21826220.

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 6610?

Answer: Factors of 6610 are 1, 2, 5, 10, 661, 1322, 3305, 6610. There are 8 integers that are factors of 6610. The greatest factor of 6610 is 6610.

4. How to Find the LCM of 6604 and 6610?

Answer:

Least Common Multiple of 6604 and 6610 = 21826220

Step 1: Find the prime factorization of 6604

6604 = 2 x 2 x 13 x 127

Step 2: Find the prime factorization of 6610

6610 = 2 x 5 x 661

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

LCM = 21826220 = 2 x 2 x 5 x 13 x 127 x 661

Step 4: Therefore, the least common multiple of 6604 and 6610 is 21826220.