Least Common Multiple of 5345 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 5345 and 5352 the smallest integer that is 28606440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5345 and 5352 is 28606440.

LCM(5345,5352) = 28606440

LCM of 5345 and 5352

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

LCM of:
and

Least Common Multiple of 5345 and 5352

LCM of 5345 and 5352 is 28606440

Least common multiple can be found by multiplying the highest exponent prime factors of 5345 and 5352. First we will calculate the prime factors of 5345 and 5352.

Prime Factorization of 5345


5 5345
1069 1069
1

Prime factors of 5345 are 5,1069. Prime factorization of 5345 in exponential form is:

5345 = 51×10691

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 5345 and 5352.

LCM(5345,5352) = 23×31×51×2231×10691
LCM(5345,5352) = 28606440

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1, 5, 1069, 5345

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 5345 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 5345 and 5352, than apply into the LCM equation.

GCF(5345,5352) = 1
LCM(5345,5352) = ( 5345 × 5352) / 1
LCM(5345,5352) = 28606440 / 1
LCM(5345,5352) = 28606440

Properties of LCM 5345 and 5352

(i) The LCM of 5352 and 5345 is associative

LCM of 5345 and 5352 = LCM of 5352 and 5345

Related Least Common Multiples of 5345

Related Least Common Multiples of 5352

Frequently Asked Questions on LCM of 5345 and 5352

1. What is the LCM of 5345 and 5352?

Answer: LCM of 5345 and 5352 is 28606440.

2. What are the Factors of 5345?

Answer: Factors of 5345 are 1, 5, 1069, 5345. There are 4 integers that are factors of 5345. The greatest factor of 5345 is 5345.

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 5345 and 5352?

Answer:

Least Common Multiple of 5345 and 5352 = 28606440

Step 1: Find the prime factorization of 5345

5345 = 5 x 1069

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 = 28606440 = 2 x 2 x 2 x 3 x 5 x 223 x 1069

Step 4: Therefore, the least common multiple of 5345 and 5352 is 28606440.