Least Common Multiple of 5636 and 5640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5636 and 5640 the smallest integer that is 7946760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5636 and 5640 is 7946760.

LCM(5636,5640) = 7946760

LCM of 5636 and 5640

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

LCM of:
and

Least Common Multiple of 5636 and 5640

LCM of 5636 and 5640 is 7946760

Least common multiple can be found by multiplying the highest exponent prime factors of 5636 and 5640. First we will calculate the prime factors of 5636 and 5640.

Prime Factorization of 5636


2 5636
2 2818
1409 1409
1

Prime factors of 5636 are 2,1409. Prime factorization of 5636 in exponential form is:

5636 = 22×14091

Prime Factorization of 5640


2 5640
2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 5640 are 2, 3, 5,47. Prime factorization of 5640 in exponential form is:

5640 = 23×31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5636 and 5640.

LCM(5636,5640) = 23×31×51×471×14091
LCM(5636,5640) = 7946760

Factors of 5636

List of positive integer factors of 5636 that divides 5636 without a remainder.

1, 2, 4, 1409, 2818, 5636

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

Least Common Multiple of 5636 and 5640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5636 and 5640, than apply into the LCM equation.

GCF(5636,5640) = 4
LCM(5636,5640) = ( 5636 × 5640) / 4
LCM(5636,5640) = 31787040 / 4
LCM(5636,5640) = 7946760

Properties of LCM 5636 and 5640

(i) The LCM of 5640 and 5636 is associative

LCM of 5636 and 5640 = LCM of 5640 and 5636

Related Least Common Multiples of 5636

Related Least Common Multiples of 5640

Frequently Asked Questions on LCM of 5636 and 5640

1. What is the LCM of 5636 and 5640?

Answer: LCM of 5636 and 5640 is 7946760.

2. What are the Factors of 5636?

Answer: Factors of 5636 are 1, 2, 4, 1409, 2818, 5636. There are 6 integers that are factors of 5636. The greatest factor of 5636 is 5636.

3. What are the Factors of 5640?

Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.

4. How to Find the LCM of 5636 and 5640?

Answer:

Least Common Multiple of 5636 and 5640 = 7946760

Step 1: Find the prime factorization of 5636

5636 = 2 x 2 x 1409

Step 2: Find the prime factorization of 5640

5640 = 2 x 2 x 2 x 3 x 5 x 47

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

LCM = 7946760 = 2 x 2 x 2 x 3 x 5 x 47 x 1409

Step 4: Therefore, the least common multiple of 5636 and 5640 is 7946760.