Least Common Multiple of 5436 and 5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5436 and 5440 the smallest integer that is 7392960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5436 and 5440 is 7392960.

LCM(5436,5440) = 7392960

LCM of 5436 and 5440

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

LCM of:
and

Least Common Multiple of 5436 and 5440

LCM of 5436 and 5440 is 7392960

Least common multiple can be found by multiplying the highest exponent prime factors of 5436 and 5440. First we will calculate the prime factors of 5436 and 5440.

Prime Factorization of 5436


2 5436
2 2718
3 1359
3 453
151 151
1

Prime factors of 5436 are 2, 3,151. Prime factorization of 5436 in exponential form is:

5436 = 22×32×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5436 and 5440.

LCM(5436,5440) = 26×32×51×171×1511
LCM(5436,5440) = 7392960

Factors of 5436

List of positive integer factors of 5436 that divides 5436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436

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

Least Common Multiple of 5436 and 5440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5436 and 5440, than apply into the LCM equation.

GCF(5436,5440) = 4
LCM(5436,5440) = ( 5436 × 5440) / 4
LCM(5436,5440) = 29571840 / 4
LCM(5436,5440) = 7392960

Properties of LCM 5436 and 5440

(i) The LCM of 5440 and 5436 is associative

LCM of 5436 and 5440 = LCM of 5440 and 5436

Related Least Common Multiples of 5436

Related Least Common Multiples of 5440

Frequently Asked Questions on LCM of 5436 and 5440

1. What is the LCM of 5436 and 5440?

Answer: LCM of 5436 and 5440 is 7392960.

2. What are the Factors of 5436?

Answer: Factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436. There are 18 integers that are factors of 5436. The greatest factor of 5436 is 5436.

3. 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.

4. How to Find the LCM of 5436 and 5440?

Answer:

Least Common Multiple of 5436 and 5440 = 7392960

Step 1: Find the prime factorization of 5436

5436 = 2 x 2 x 3 x 3 x 151

Step 2: Find the prime factorization of 5440

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

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

LCM = 7392960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 151

Step 4: Therefore, the least common multiple of 5436 and 5440 is 7392960.