Least Common Multiple of 6643 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 6643 and 6648 the smallest integer that is 44162664 that is divisible by both numbers.

Least Common Multiple (LCM) of 6643 and 6648 is 44162664.

LCM(6643,6648) = 44162664

LCM of 6643 and 6648

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

LCM of:
and

Least Common Multiple of 6643 and 6648

LCM of 6643 and 6648 is 44162664

Least common multiple can be found by multiplying the highest exponent prime factors of 6643 and 6648. First we will calculate the prime factors of 6643 and 6648.

Prime Factorization of 6643


7 6643
13 949
73 73
1

Prime factors of 6643 are 7, 13,73. Prime factorization of 6643 in exponential form is:

6643 = 71×131×731

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 6643 and 6648.

LCM(6643,6648) = 23×31×71×131×731×2771
LCM(6643,6648) = 44162664

Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1, 7, 13, 73, 91, 511, 949, 6643

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 6643 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 6643 and 6648, than apply into the LCM equation.

GCF(6643,6648) = 1
LCM(6643,6648) = ( 6643 × 6648) / 1
LCM(6643,6648) = 44162664 / 1
LCM(6643,6648) = 44162664

Properties of LCM 6643 and 6648

(i) The LCM of 6648 and 6643 is associative

LCM of 6643 and 6648 = LCM of 6648 and 6643

Related Least Common Multiples of 6643

Related Least Common Multiples of 6648

Frequently Asked Questions on LCM of 6643 and 6648

1. What is the LCM of 6643 and 6648?

Answer: LCM of 6643 and 6648 is 44162664.

2. What are the Factors of 6643?

Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.

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 6643 and 6648?

Answer:

Least Common Multiple of 6643 and 6648 = 44162664

Step 1: Find the prime factorization of 6643

6643 = 7 x 13 x 73

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 = 44162664 = 2 x 2 x 2 x 3 x 7 x 13 x 73 x 277

Step 4: Therefore, the least common multiple of 6643 and 6648 is 44162664.