Least Common Multiple of 5640 and 5648

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 5648 the smallest integer that is 3981840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5640 and 5648 is 3981840.

LCM(5640,5648) = 3981840

LCM of 5640 and 5648

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

LCM of:
and

Least Common Multiple of 5640 and 5648

LCM of 5640 and 5648 is 3981840

Least common multiple can be found by multiplying the highest exponent prime factors of 5640 and 5648. First we will calculate the prime factors of 5640 and 5648.

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 5648


2 5648
2 2824
2 1412
2 706
353 353
1

Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:

5648 = 24×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 5640 and 5648.

LCM(5640,5648) = 24×31×51×471×3531
LCM(5640,5648) = 3981840

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 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

Least Common Multiple of 5640 and 5648 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 5648, than apply into the LCM equation.

GCF(5640,5648) = 8
LCM(5640,5648) = ( 5640 × 5648) / 8
LCM(5640,5648) = 31854720 / 8
LCM(5640,5648) = 3981840

Properties of LCM 5640 and 5648

(i) The LCM of 5648 and 5640 is associative

LCM of 5640 and 5648 = LCM of 5648 and 5640

Related Least Common Multiples of 5640

Related Least Common Multiples of 5648

Frequently Asked Questions on LCM of 5640 and 5648

1. What is the LCM of 5640 and 5648?

Answer: LCM of 5640 and 5648 is 3981840.

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 5648?

Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.

4. How to Find the LCM of 5640 and 5648?

Answer:

Least Common Multiple of 5640 and 5648 = 3981840

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 5648

5648 = 2 x 2 x 2 x 2 x 353

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

LCM = 3981840 = 2 x 2 x 2 x 2 x 3 x 5 x 47 x 353

Step 4: Therefore, the least common multiple of 5640 and 5648 is 3981840.