Least Common Multiple of 5641 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 5641 and 5648 the smallest integer that is 31860368 that is divisible by both numbers.

Least Common Multiple (LCM) of 5641 and 5648 is 31860368.

LCM(5641,5648) = 31860368

LCM of 5641 and 5648

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

LCM of:
and

Least Common Multiple of 5641 and 5648

LCM of 5641 and 5648 is 31860368

Least common multiple can be found by multiplying the highest exponent prime factors of 5641 and 5648. First we will calculate the prime factors of 5641 and 5648.

Prime Factorization of 5641


5641 5641
1

Prime factors of 5641 are 5641. Prime factorization of 5641 in exponential form is:

5641 = 56411

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 5641 and 5648.

LCM(5641,5648) = 24×3531×56411
LCM(5641,5648) = 31860368

Factors of 5641

List of positive integer factors of 5641 that divides 5641 without a remainder.

1, 5641

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 5641 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 5641 and 5648, than apply into the LCM equation.

GCF(5641,5648) = 1
LCM(5641,5648) = ( 5641 × 5648) / 1
LCM(5641,5648) = 31860368 / 1
LCM(5641,5648) = 31860368

Properties of LCM 5641 and 5648

(i) The LCM of 5648 and 5641 is associative

LCM of 5641 and 5648 = LCM of 5648 and 5641

Related Least Common Multiples of 5641

Related Least Common Multiples of 5648

Frequently Asked Questions on LCM of 5641 and 5648

1. What is the LCM of 5641 and 5648?

Answer: LCM of 5641 and 5648 is 31860368.

2. What are the Factors of 5641?

Answer: Factors of 5641 are 1, 5641. There are 2 integers that are factors of 5641. The greatest factor of 5641 is 5641.

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 5641 and 5648?

Answer:

Least Common Multiple of 5641 and 5648 = 31860368

Step 1: Find the prime factorization of 5641

5641 = 5641

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 = 31860368 = 2 x 2 x 2 x 2 x 353 x 5641

Step 4: Therefore, the least common multiple of 5641 and 5648 is 31860368.