Least Common Multiple of 5352 and 5358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5352 and 5358 the smallest integer that is 4779336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5352 and 5358 is 4779336.

LCM(5352,5358) = 4779336

LCM of 5352 and 5358

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

LCM of:
and

Least Common Multiple of 5352 and 5358

LCM of 5352 and 5358 is 4779336

Least common multiple can be found by multiplying the highest exponent prime factors of 5352 and 5358. First we will calculate the prime factors of 5352 and 5358.

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

Prime Factorization of 5358


2 5358
3 2679
19 893
47 47
1

Prime factors of 5358 are 2, 3, 19,47. Prime factorization of 5358 in exponential form is:

5358 = 21×31×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5352 and 5358.

LCM(5352,5358) = 23×31×191×471×2231
LCM(5352,5358) = 4779336

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

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358

Least Common Multiple of 5352 and 5358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5352 and 5358, than apply into the LCM equation.

GCF(5352,5358) = 6
LCM(5352,5358) = ( 5352 × 5358) / 6
LCM(5352,5358) = 28676016 / 6
LCM(5352,5358) = 4779336

Properties of LCM 5352 and 5358

(i) The LCM of 5358 and 5352 is associative

LCM of 5352 and 5358 = LCM of 5358 and 5352

Related Least Common Multiples of 5352

Related Least Common Multiples of 5358

Frequently Asked Questions on LCM of 5352 and 5358

1. What is the LCM of 5352 and 5358?

Answer: LCM of 5352 and 5358 is 4779336.

2. 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.

3. What are the Factors of 5358?

Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.

4. How to Find the LCM of 5352 and 5358?

Answer:

Least Common Multiple of 5352 and 5358 = 4779336

Step 1: Find the prime factorization of 5352

5352 = 2 x 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

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

LCM = 4779336 = 2 x 2 x 2 x 3 x 19 x 47 x 223

Step 4: Therefore, the least common multiple of 5352 and 5358 is 4779336.