Least Common Multiple of 5643 and 5651

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 5651 the smallest integer that is 31888593 that is divisible by both numbers.

Least Common Multiple (LCM) of 5643 and 5651 is 31888593.

LCM(5643,5651) = 31888593

LCM of 5643 and 5651

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

LCM of:
and

Least Common Multiple of 5643 and 5651

LCM of 5643 and 5651 is 31888593

Least common multiple can be found by multiplying the highest exponent prime factors of 5643 and 5651. First we will calculate the prime factors of 5643 and 5651.

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 5651


5651 5651
1

Prime factors of 5651 are 5651. Prime factorization of 5651 in exponential form is:

5651 = 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 5643 and 5651.

LCM(5643,5651) = 33×111×191×56511
LCM(5643,5651) = 31888593

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 5651

List of positive integer factors of 5651 that divides 5651 without a remainder.

1, 5651

Least Common Multiple of 5643 and 5651 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 5651, than apply into the LCM equation.

GCF(5643,5651) = 1
LCM(5643,5651) = ( 5643 × 5651) / 1
LCM(5643,5651) = 31888593 / 1
LCM(5643,5651) = 31888593

Properties of LCM 5643 and 5651

(i) The LCM of 5651 and 5643 is associative

LCM of 5643 and 5651 = LCM of 5651 and 5643

Related Least Common Multiples of 5643

Related Least Common Multiples of 5651

Frequently Asked Questions on LCM of 5643 and 5651

1. What is the LCM of 5643 and 5651?

Answer: LCM of 5643 and 5651 is 31888593.

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 5651?

Answer: Factors of 5651 are 1, 5651. There are 2 integers that are factors of 5651. The greatest factor of 5651 is 5651.

4. How to Find the LCM of 5643 and 5651?

Answer:

Least Common Multiple of 5643 and 5651 = 31888593

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 5651

5651 = 5651

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

LCM = 31888593 = 3 x 3 x 3 x 11 x 19 x 5651

Step 4: Therefore, the least common multiple of 5643 and 5651 is 31888593.