Least Common Multiple of 5340 and 5344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5340 and 5344 the smallest integer that is 7134240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5340 and 5344 is 7134240.

LCM(5340,5344) = 7134240

LCM of 5340 and 5344

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

LCM of:
and

Least Common Multiple of 5340 and 5344

LCM of 5340 and 5344 is 7134240

Least common multiple can be found by multiplying the highest exponent prime factors of 5340 and 5344. First we will calculate the prime factors of 5340 and 5344.

Prime Factorization of 5340


2 5340
2 2670
3 1335
5 445
89 89
1

Prime factors of 5340 are 2, 3, 5,89. Prime factorization of 5340 in exponential form is:

5340 = 22×31×51×891

Prime Factorization of 5344


2 5344
2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 5344 are 2,167. Prime factorization of 5344 in exponential form is:

5344 = 25×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5340 and 5344.

LCM(5340,5344) = 25×31×51×891×1671
LCM(5340,5344) = 7134240

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344

Least Common Multiple of 5340 and 5344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5340 and 5344, than apply into the LCM equation.

GCF(5340,5344) = 4
LCM(5340,5344) = ( 5340 × 5344) / 4
LCM(5340,5344) = 28536960 / 4
LCM(5340,5344) = 7134240

Properties of LCM 5340 and 5344

(i) The LCM of 5344 and 5340 is associative

LCM of 5340 and 5344 = LCM of 5344 and 5340

Related Least Common Multiples of 5340

Related Least Common Multiples of 5344

Frequently Asked Questions on LCM of 5340 and 5344

1. What is the LCM of 5340 and 5344?

Answer: LCM of 5340 and 5344 is 7134240.

2. What are the Factors of 5340?

Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.

3. What are the Factors of 5344?

Answer: Factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344. There are 12 integers that are factors of 5344. The greatest factor of 5344 is 5344.

4. How to Find the LCM of 5340 and 5344?

Answer:

Least Common Multiple of 5340 and 5344 = 7134240

Step 1: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

Step 2: Find the prime factorization of 5344

5344 = 2 x 2 x 2 x 2 x 2 x 167

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

LCM = 7134240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 89 x 167

Step 4: Therefore, the least common multiple of 5340 and 5344 is 7134240.