Least Common Multiple of 5649 and 5654

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 5654 the smallest integer that is 31939446 that is divisible by both numbers.

Least Common Multiple (LCM) of 5649 and 5654 is 31939446.

LCM(5649,5654) = 31939446

LCM of 5649 and 5654

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

LCM of:
and

Least Common Multiple of 5649 and 5654

LCM of 5649 and 5654 is 31939446

Least common multiple can be found by multiplying the highest exponent prime factors of 5649 and 5654. First we will calculate the prime factors of 5649 and 5654.

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 5654


2 5654
11 2827
257 257
1

Prime factors of 5654 are 2, 11,257. Prime factorization of 5654 in exponential form is:

5654 = 21×111×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 5649 and 5654.

LCM(5649,5654) = 21×31×71×111×2571×2691
LCM(5649,5654) = 31939446

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 5654

List of positive integer factors of 5654 that divides 5654 without a remainder.

1, 2, 11, 22, 257, 514, 2827, 5654

Least Common Multiple of 5649 and 5654 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 5654, than apply into the LCM equation.

GCF(5649,5654) = 1
LCM(5649,5654) = ( 5649 × 5654) / 1
LCM(5649,5654) = 31939446 / 1
LCM(5649,5654) = 31939446

Properties of LCM 5649 and 5654

(i) The LCM of 5654 and 5649 is associative

LCM of 5649 and 5654 = LCM of 5654 and 5649

Related Least Common Multiples of 5649

Related Least Common Multiples of 5654

Frequently Asked Questions on LCM of 5649 and 5654

1. What is the LCM of 5649 and 5654?

Answer: LCM of 5649 and 5654 is 31939446.

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 5654?

Answer: Factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654. There are 8 integers that are factors of 5654. The greatest factor of 5654 is 5654.

4. How to Find the LCM of 5649 and 5654?

Answer:

Least Common Multiple of 5649 and 5654 = 31939446

Step 1: Find the prime factorization of 5649

5649 = 3 x 7 x 269

Step 2: Find the prime factorization of 5654

5654 = 2 x 11 x 257

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

LCM = 31939446 = 2 x 3 x 7 x 11 x 257 x 269

Step 4: Therefore, the least common multiple of 5649 and 5654 is 31939446.