Least Common Multiple of 5645 and 5649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5645 and 5649 the smallest integer that is 31888605 that is divisible by both numbers.

Least Common Multiple (LCM) of 5645 and 5649 is 31888605.

LCM(5645,5649) = 31888605

LCM of 5645 and 5649

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

LCM of:
and

Least Common Multiple of 5645 and 5649

LCM of 5645 and 5649 is 31888605

Least common multiple can be found by multiplying the highest exponent prime factors of 5645 and 5649. First we will calculate the prime factors of 5645 and 5649.

Prime Factorization of 5645


5 5645
1129 1129
1

Prime factors of 5645 are 5,1129. Prime factorization of 5645 in exponential form is:

5645 = 51×11291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5645 and 5649.

LCM(5645,5649) = 31×51×71×2691×11291
LCM(5645,5649) = 31888605

Factors of 5645

List of positive integer factors of 5645 that divides 5645 without a remainder.

1, 5, 1129, 5645

Factors of 5649

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

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

Least Common Multiple of 5645 and 5649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5645 and 5649, than apply into the LCM equation.

GCF(5645,5649) = 1
LCM(5645,5649) = ( 5645 × 5649) / 1
LCM(5645,5649) = 31888605 / 1
LCM(5645,5649) = 31888605

Properties of LCM 5645 and 5649

(i) The LCM of 5649 and 5645 is associative

LCM of 5645 and 5649 = LCM of 5649 and 5645

Related Least Common Multiples of 5645

Related Least Common Multiples of 5649

Frequently Asked Questions on LCM of 5645 and 5649

1. What is the LCM of 5645 and 5649?

Answer: LCM of 5645 and 5649 is 31888605.

2. What are the Factors of 5645?

Answer: Factors of 5645 are 1, 5, 1129, 5645. There are 4 integers that are factors of 5645. The greatest factor of 5645 is 5645.

3. 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.

4. How to Find the LCM of 5645 and 5649?

Answer:

Least Common Multiple of 5645 and 5649 = 31888605

Step 1: Find the prime factorization of 5645

5645 = 5 x 1129

Step 2: Find the prime factorization of 5649

5649 = 3 x 7 x 269

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

LCM = 31888605 = 3 x 5 x 7 x 269 x 1129

Step 4: Therefore, the least common multiple of 5645 and 5649 is 31888605.