Least Common Multiple of 5648 and 5653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5648 and 5653 the smallest integer that is 31928144 that is divisible by both numbers.

Least Common Multiple (LCM) of 5648 and 5653 is 31928144.

LCM(5648,5653) = 31928144

LCM of 5648 and 5653

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

LCM of:
and

Least Common Multiple of 5648 and 5653

LCM of 5648 and 5653 is 31928144

Least common multiple can be found by multiplying the highest exponent prime factors of 5648 and 5653. First we will calculate the prime factors of 5648 and 5653.

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

Prime Factorization of 5653


5653 5653
1

Prime factors of 5653 are 5653. Prime factorization of 5653 in exponential form is:

5653 = 56531

Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5653.

LCM(5648,5653) = 24×3531×56531
LCM(5648,5653) = 31928144

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

Factors of 5653

List of positive integer factors of 5653 that divides 5653 without a remainder.

1, 5653

Least Common Multiple of 5648 and 5653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5648 and 5653, than apply into the LCM equation.

GCF(5648,5653) = 1
LCM(5648,5653) = ( 5648 × 5653) / 1
LCM(5648,5653) = 31928144 / 1
LCM(5648,5653) = 31928144

Properties of LCM 5648 and 5653

(i) The LCM of 5653 and 5648 is associative

LCM of 5648 and 5653 = LCM of 5653 and 5648

Related Least Common Multiples of 5648

Related Least Common Multiples of 5653

Frequently Asked Questions on LCM of 5648 and 5653

1. What is the LCM of 5648 and 5653?

Answer: LCM of 5648 and 5653 is 31928144.

2. 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.

3. What are the Factors of 5653?

Answer: Factors of 5653 are 1, 5653. There are 2 integers that are factors of 5653. The greatest factor of 5653 is 5653.

4. How to Find the LCM of 5648 and 5653?

Answer:

Least Common Multiple of 5648 and 5653 = 31928144

Step 1: Find the prime factorization of 5648

5648 = 2 x 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 5653

5653 = 5653

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

LCM = 31928144 = 2 x 2 x 2 x 2 x 353 x 5653

Step 4: Therefore, the least common multiple of 5648 and 5653 is 31928144.