Least Common Multiple of 5344 and 5352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5344 and 5352 the smallest integer that is 3575136 that is divisible by both numbers.

Least Common Multiple (LCM) of 5344 and 5352 is 3575136.

LCM(5344,5352) = 3575136

LCM of 5344 and 5352

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

LCM of:
and

Least Common Multiple of 5344 and 5352

LCM of 5344 and 5352 is 3575136

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5352. First we will calculate the prime factors of 5344 and 5352.

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

Prime Factorization of 5352


2 5352
2 2676
2 1338
3 669
223 223
1

Prime factors of 5352 are 2, 3,223. Prime factorization of 5352 in exponential form is:

5352 = 23×31×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5352.

LCM(5344,5352) = 25×31×1671×2231
LCM(5344,5352) = 3575136

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

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352

Least Common Multiple of 5344 and 5352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5344 and 5352, than apply into the LCM equation.

GCF(5344,5352) = 8
LCM(5344,5352) = ( 5344 × 5352) / 8
LCM(5344,5352) = 28601088 / 8
LCM(5344,5352) = 3575136

Properties of LCM 5344 and 5352

(i) The LCM of 5352 and 5344 is associative

LCM of 5344 and 5352 = LCM of 5352 and 5344

Related Least Common Multiples of 5344

Related Least Common Multiples of 5352

Frequently Asked Questions on LCM of 5344 and 5352

1. What is the LCM of 5344 and 5352?

Answer: LCM of 5344 and 5352 is 3575136.

2. 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.

3. What are the Factors of 5352?

Answer: Factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352. There are 16 integers that are factors of 5352. The greatest factor of 5352 is 5352.

4. How to Find the LCM of 5344 and 5352?

Answer:

Least Common Multiple of 5344 and 5352 = 3575136

Step 1: Find the prime factorization of 5344

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

Step 2: Find the prime factorization of 5352

5352 = 2 x 2 x 2 x 3 x 223

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

LCM = 3575136 = 2 x 2 x 2 x 2 x 2 x 3 x 167 x 223

Step 4: Therefore, the least common multiple of 5344 and 5352 is 3575136.