Least Common Multiple of 5358 and 5362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5358 and 5362 the smallest integer that is 14364798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5358 and 5362 is 14364798.

LCM(5358,5362) = 14364798

LCM of 5358 and 5362

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

LCM of:
and

Least Common Multiple of 5358 and 5362

LCM of 5358 and 5362 is 14364798

Least common multiple can be found by multiplying the highest exponent prime factors of 5358 and 5362. First we will calculate the prime factors of 5358 and 5362.

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

Prime Factorization of 5362


2 5362
7 2681
383 383
1

Prime factors of 5362 are 2, 7,383. Prime factorization of 5362 in exponential form is:

5362 = 21×71×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 5358 and 5362.

LCM(5358,5362) = 21×31×71×191×471×3831
LCM(5358,5362) = 14364798

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

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1, 2, 7, 14, 383, 766, 2681, 5362

Least Common Multiple of 5358 and 5362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5358 and 5362, than apply into the LCM equation.

GCF(5358,5362) = 2
LCM(5358,5362) = ( 5358 × 5362) / 2
LCM(5358,5362) = 28729596 / 2
LCM(5358,5362) = 14364798

Properties of LCM 5358 and 5362

(i) The LCM of 5362 and 5358 is associative

LCM of 5358 and 5362 = LCM of 5362 and 5358

Related Least Common Multiples of 5358

Related Least Common Multiples of 5362

Frequently Asked Questions on LCM of 5358 and 5362

1. What is the LCM of 5358 and 5362?

Answer: LCM of 5358 and 5362 is 14364798.

2. 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.

3. What are the Factors of 5362?

Answer: Factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362. There are 8 integers that are factors of 5362. The greatest factor of 5362 is 5362.

4. How to Find the LCM of 5358 and 5362?

Answer:

Least Common Multiple of 5358 and 5362 = 14364798

Step 1: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

Step 2: Find the prime factorization of 5362

5362 = 2 x 7 x 383

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

LCM = 14364798 = 2 x 3 x 7 x 19 x 47 x 383

Step 4: Therefore, the least common multiple of 5358 and 5362 is 14364798.