Least Common Multiple of 6354 and 6358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6354 and 6358 the smallest integer that is 20199366 that is divisible by both numbers.

Least Common Multiple (LCM) of 6354 and 6358 is 20199366.

LCM(6354,6358) = 20199366

LCM of 6354 and 6358

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

LCM of:
and

Least Common Multiple of 6354 and 6358

LCM of 6354 and 6358 is 20199366

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6358. First we will calculate the prime factors of 6354 and 6358.

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2, 3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

Prime Factorization of 6358


2 6358
11 3179
17 289
17 17
1

Prime factors of 6358 are 2, 11,17. Prime factorization of 6358 in exponential form is:

6358 = 21×111×172

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6358.

LCM(6354,6358) = 21×32×111×172×3531
LCM(6354,6358) = 20199366

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358

Least Common Multiple of 6354 and 6358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6358, than apply into the LCM equation.

GCF(6354,6358) = 2
LCM(6354,6358) = ( 6354 × 6358) / 2
LCM(6354,6358) = 40398732 / 2
LCM(6354,6358) = 20199366

Properties of LCM 6354 and 6358

(i) The LCM of 6358 and 6354 is associative

LCM of 6354 and 6358 = LCM of 6358 and 6354

Related Least Common Multiples of 6354

Related Least Common Multiples of 6358

Frequently Asked Questions on LCM of 6354 and 6358

1. What is the LCM of 6354 and 6358?

Answer: LCM of 6354 and 6358 is 20199366.

2. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

3. What are the Factors of 6358?

Answer: Factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358. There are 12 integers that are factors of 6358. The greatest factor of 6358 is 6358.

4. How to Find the LCM of 6354 and 6358?

Answer:

Least Common Multiple of 6354 and 6358 = 20199366

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6358

6358 = 2 x 11 x 17 x 17

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

LCM = 20199366 = 2 x 3 x 3 x 11 x 17 x 17 x 353

Step 4: Therefore, the least common multiple of 6354 and 6358 is 20199366.