Least Common Multiple of 5649 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 5649 and 5653 the smallest integer that is 31933797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5649 and 5653 is 31933797.

LCM(5649,5653) = 31933797

LCM of 5649 and 5653

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

LCM of:
and

Least Common Multiple of 5649 and 5653

LCM of 5649 and 5653 is 31933797

Least common multiple can be found by multiplying the highest exponent prime factors of 5649 and 5653. First we will calculate the prime factors of 5649 and 5653.

Prime Factorization of 5649


3 5649
7 1883
269 269
1

Prime factors of 5649 are 3, 7,269. Prime factorization of 5649 in exponential form is:

5649 = 31×71×2691

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 5649 and 5653.

LCM(5649,5653) = 31×71×2691×56531
LCM(5649,5653) = 31933797

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883, 5649

Factors of 5653

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

1, 5653

Least Common Multiple of 5649 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 5649 and 5653, than apply into the LCM equation.

GCF(5649,5653) = 1
LCM(5649,5653) = ( 5649 × 5653) / 1
LCM(5649,5653) = 31933797 / 1
LCM(5649,5653) = 31933797

Properties of LCM 5649 and 5653

(i) The LCM of 5653 and 5649 is associative

LCM of 5649 and 5653 = LCM of 5653 and 5649

Related Least Common Multiples of 5649

Related Least Common Multiples of 5653

Frequently Asked Questions on LCM of 5649 and 5653

1. What is the LCM of 5649 and 5653?

Answer: LCM of 5649 and 5653 is 31933797.

2. What are the Factors of 5649?

Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.

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 5649 and 5653?

Answer:

Least Common Multiple of 5649 and 5653 = 31933797

Step 1: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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 = 31933797 = 3 x 7 x 269 x 5653

Step 4: Therefore, the least common multiple of 5649 and 5653 is 31933797.