Least Common Multiple of 5440 and 5446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5440 and 5446 the smallest integer that is 14813120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5440 and 5446 is 14813120.

LCM(5440,5446) = 14813120

LCM of 5440 and 5446

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

LCM of:
and

Least Common Multiple of 5440 and 5446

LCM of 5440 and 5446 is 14813120

Least common multiple can be found by multiplying the highest exponent prime factors of 5440 and 5446. First we will calculate the prime factors of 5440 and 5446.

Prime Factorization of 5440


2 5440
2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 5440 are 2, 5,17. Prime factorization of 5440 in exponential form is:

5440 = 26×51×171

Prime Factorization of 5446


2 5446
7 2723
389 389
1

Prime factors of 5446 are 2, 7,389. Prime factorization of 5446 in exponential form is:

5446 = 21×71×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 5440 and 5446.

LCM(5440,5446) = 26×51×71×171×3891
LCM(5440,5446) = 14813120

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1, 2, 7, 14, 389, 778, 2723, 5446

Least Common Multiple of 5440 and 5446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5440 and 5446, than apply into the LCM equation.

GCF(5440,5446) = 2
LCM(5440,5446) = ( 5440 × 5446) / 2
LCM(5440,5446) = 29626240 / 2
LCM(5440,5446) = 14813120

Properties of LCM 5440 and 5446

(i) The LCM of 5446 and 5440 is associative

LCM of 5440 and 5446 = LCM of 5446 and 5440

Related Least Common Multiples of 5440

Related Least Common Multiples of 5446

Frequently Asked Questions on LCM of 5440 and 5446

1. What is the LCM of 5440 and 5446?

Answer: LCM of 5440 and 5446 is 14813120.

2. What are the Factors of 5440?

Answer: Factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. There are 28 integers that are factors of 5440. The greatest factor of 5440 is 5440.

3. What are the Factors of 5446?

Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.

4. How to Find the LCM of 5440 and 5446?

Answer:

Least Common Multiple of 5440 and 5446 = 14813120

Step 1: Find the prime factorization of 5440

5440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 5446

5446 = 2 x 7 x 389

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

LCM = 14813120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 17 x 389

Step 4: Therefore, the least common multiple of 5440 and 5446 is 14813120.