Least Common Multiple of 5640 and 5644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5640 and 5644 the smallest integer that is 7958040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5640 and 5644 is 7958040.

LCM(5640,5644) = 7958040

LCM of 5640 and 5644

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

LCM of:
and

Least Common Multiple of 5640 and 5644

LCM of 5640 and 5644 is 7958040

Least common multiple can be found by multiplying the highest exponent prime factors of 5640 and 5644. First we will calculate the prime factors of 5640 and 5644.

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

Prime Factorization of 5644


2 5644
2 2822
17 1411
83 83
1

Prime factors of 5644 are 2, 17,83. Prime factorization of 5644 in exponential form is:

5644 = 22×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5640 and 5644.

LCM(5640,5644) = 23×31×51×171×471×831
LCM(5640,5644) = 7958040

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

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644

Least Common Multiple of 5640 and 5644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5640 and 5644, than apply into the LCM equation.

GCF(5640,5644) = 4
LCM(5640,5644) = ( 5640 × 5644) / 4
LCM(5640,5644) = 31832160 / 4
LCM(5640,5644) = 7958040

Properties of LCM 5640 and 5644

(i) The LCM of 5644 and 5640 is associative

LCM of 5640 and 5644 = LCM of 5644 and 5640

Related Least Common Multiples of 5640

Related Least Common Multiples of 5644

Frequently Asked Questions on LCM of 5640 and 5644

1. What is the LCM of 5640 and 5644?

Answer: LCM of 5640 and 5644 is 7958040.

2. 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.

3. What are the Factors of 5644?

Answer: Factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644. There are 12 integers that are factors of 5644. The greatest factor of 5644 is 5644.

4. How to Find the LCM of 5640 and 5644?

Answer:

Least Common Multiple of 5640 and 5644 = 7958040

Step 1: Find the prime factorization of 5640

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

Step 2: Find the prime factorization of 5644

5644 = 2 x 2 x 17 x 83

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

LCM = 7958040 = 2 x 2 x 2 x 3 x 5 x 17 x 47 x 83

Step 4: Therefore, the least common multiple of 5640 and 5644 is 7958040.