Least Common Multiple of 6644 and 6648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6644 and 6648 the smallest integer that is 11042328 that is divisible by both numbers.

Least Common Multiple (LCM) of 6644 and 6648 is 11042328.

LCM(6644,6648) = 11042328

LCM of 6644 and 6648

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

LCM of:
and

Least Common Multiple of 6644 and 6648

LCM of 6644 and 6648 is 11042328

Least common multiple can be found by multiplying the highest exponent prime factors of 6644 and 6648. First we will calculate the prime factors of 6644 and 6648.

Prime Factorization of 6644


2 6644
2 3322
11 1661
151 151
1

Prime factors of 6644 are 2, 11,151. Prime factorization of 6644 in exponential form is:

6644 = 22×111×1511

Prime Factorization of 6648


2 6648
2 3324
2 1662
3 831
277 277
1

Prime factors of 6648 are 2, 3,277. Prime factorization of 6648 in exponential form is:

6648 = 23×31×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6644 and 6648.

LCM(6644,6648) = 23×31×111×1511×2771
LCM(6644,6648) = 11042328

Factors of 6644

List of positive integer factors of 6644 that divides 6644 without a remainder.

1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644

Factors of 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648

Least Common Multiple of 6644 and 6648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6644 and 6648, than apply into the LCM equation.

GCF(6644,6648) = 4
LCM(6644,6648) = ( 6644 × 6648) / 4
LCM(6644,6648) = 44169312 / 4
LCM(6644,6648) = 11042328

Properties of LCM 6644 and 6648

(i) The LCM of 6648 and 6644 is associative

LCM of 6644 and 6648 = LCM of 6648 and 6644

Related Least Common Multiples of 6644

Related Least Common Multiples of 6648

Frequently Asked Questions on LCM of 6644 and 6648

1. What is the LCM of 6644 and 6648?

Answer: LCM of 6644 and 6648 is 11042328.

2. What are the Factors of 6644?

Answer: Factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644. There are 12 integers that are factors of 6644. The greatest factor of 6644 is 6644.

3. What are the Factors of 6648?

Answer: Factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648. There are 16 integers that are factors of 6648. The greatest factor of 6648 is 6648.

4. How to Find the LCM of 6644 and 6648?

Answer:

Least Common Multiple of 6644 and 6648 = 11042328

Step 1: Find the prime factorization of 6644

6644 = 2 x 2 x 11 x 151

Step 2: Find the prime factorization of 6648

6648 = 2 x 2 x 2 x 3 x 277

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

LCM = 11042328 = 2 x 2 x 2 x 3 x 11 x 151 x 277

Step 4: Therefore, the least common multiple of 6644 and 6648 is 11042328.