Least Common Multiple of 5643 and 5649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5643 and 5649 the smallest integer that is 10625769 that is divisible by both numbers.

Least Common Multiple (LCM) of 5643 and 5649 is 10625769.

LCM(5643,5649) = 10625769

LCM of 5643 and 5649

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

LCM of:
and

Least Common Multiple of 5643 and 5649

LCM of 5643 and 5649 is 10625769

Least common multiple can be found by multiplying the highest exponent prime factors of 5643 and 5649. First we will calculate the prime factors of 5643 and 5649.

Prime Factorization of 5643


3 5643
3 1881
3 627
11 209
19 19
1

Prime factors of 5643 are 3, 11,19. Prime factorization of 5643 in exponential form is:

5643 = 33×111×191

Prime Factorization of 5649


3 5649
7 1883
269 269
1

Prime factors of 5649 are 3, 7,269. Prime factorization of 5649 in exponential form is:

5649 = 31×71×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5643 and 5649.

LCM(5643,5649) = 33×71×111×191×2691
LCM(5643,5649) = 10625769

Factors of 5643

List of positive integer factors of 5643 that divides 5643 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883, 5649

Least Common Multiple of 5643 and 5649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5643 and 5649, than apply into the LCM equation.

GCF(5643,5649) = 3
LCM(5643,5649) = ( 5643 × 5649) / 3
LCM(5643,5649) = 31877307 / 3
LCM(5643,5649) = 10625769

Properties of LCM 5643 and 5649

(i) The LCM of 5649 and 5643 is associative

LCM of 5643 and 5649 = LCM of 5649 and 5643

Related Least Common Multiples of 5643

Related Least Common Multiples of 5649

Frequently Asked Questions on LCM of 5643 and 5649

1. What is the LCM of 5643 and 5649?

Answer: LCM of 5643 and 5649 is 10625769.

2. What are the Factors of 5643?

Answer: Factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643. There are 16 integers that are factors of 5643. The greatest factor of 5643 is 5643.

3. What are the Factors of 5649?

Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.

4. How to Find the LCM of 5643 and 5649?

Answer:

Least Common Multiple of 5643 and 5649 = 10625769

Step 1: Find the prime factorization of 5643

5643 = 3 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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

LCM = 10625769 = 3 x 3 x 3 x 7 x 11 x 19 x 269

Step 4: Therefore, the least common multiple of 5643 and 5649 is 10625769.