Least Common Multiple of 5649 and 5656

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 5656 the smallest integer that is 4564392 that is divisible by both numbers.

Least Common Multiple (LCM) of 5649 and 5656 is 4564392.

LCM(5649,5656) = 4564392

LCM of 5649 and 5656

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

LCM of:
and

Least Common Multiple of 5649 and 5656

LCM of 5649 and 5656 is 4564392

Least common multiple can be found by multiplying the highest exponent prime factors of 5649 and 5656. First we will calculate the prime factors of 5649 and 5656.

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 5656


2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 5656 are 2, 7,101. Prime factorization of 5656 in exponential form is:

5656 = 23×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5649 and 5656.

LCM(5649,5656) = 23×31×71×1011×2691
LCM(5649,5656) = 4564392

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 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

Least Common Multiple of 5649 and 5656 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 5656, than apply into the LCM equation.

GCF(5649,5656) = 7
LCM(5649,5656) = ( 5649 × 5656) / 7
LCM(5649,5656) = 31950744 / 7
LCM(5649,5656) = 4564392

Properties of LCM 5649 and 5656

(i) The LCM of 5656 and 5649 is associative

LCM of 5649 and 5656 = LCM of 5656 and 5649

Related Least Common Multiples of 5649

Related Least Common Multiples of 5656

Frequently Asked Questions on LCM of 5649 and 5656

1. What is the LCM of 5649 and 5656?

Answer: LCM of 5649 and 5656 is 4564392.

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 5656?

Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.

4. How to Find the LCM of 5649 and 5656?

Answer:

Least Common Multiple of 5649 and 5656 = 4564392

Step 1: Find the prime factorization of 5649

5649 = 3 x 7 x 269

Step 2: Find the prime factorization of 5656

5656 = 2 x 2 x 2 x 7 x 101

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

LCM = 4564392 = 2 x 2 x 2 x 3 x 7 x 101 x 269

Step 4: Therefore, the least common multiple of 5649 and 5656 is 4564392.