Least Common Multiple of 6351 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 6351 and 6358 the smallest integer that is 40379658 that is divisible by both numbers.

Least Common Multiple (LCM) of 6351 and 6358 is 40379658.

LCM(6351,6358) = 40379658

LCM of 6351 and 6358

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

LCM of:
and

Least Common Multiple of 6351 and 6358

LCM of 6351 and 6358 is 40379658

Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6358. First we will calculate the prime factors of 6351 and 6358.

Prime Factorization of 6351


3 6351
29 2117
73 73
1

Prime factors of 6351 are 3, 29,73. Prime factorization of 6351 in exponential form is:

6351 = 31×291×731

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 6351 and 6358.

LCM(6351,6358) = 21×31×111×172×291×731
LCM(6351,6358) = 40379658

Factors of 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1, 3, 29, 73, 87, 219, 2117, 6351

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 6351 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 6351 and 6358, than apply into the LCM equation.

GCF(6351,6358) = 1
LCM(6351,6358) = ( 6351 × 6358) / 1
LCM(6351,6358) = 40379658 / 1
LCM(6351,6358) = 40379658

Properties of LCM 6351 and 6358

(i) The LCM of 6358 and 6351 is associative

LCM of 6351 and 6358 = LCM of 6358 and 6351

Related Least Common Multiples of 6351

Related Least Common Multiples of 6358

Frequently Asked Questions on LCM of 6351 and 6358

1. What is the LCM of 6351 and 6358?

Answer: LCM of 6351 and 6358 is 40379658.

2. What are the Factors of 6351?

Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.

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 6351 and 6358?

Answer:

Least Common Multiple of 6351 and 6358 = 40379658

Step 1: Find the prime factorization of 6351

6351 = 3 x 29 x 73

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 = 40379658 = 2 x 3 x 11 x 17 x 17 x 29 x 73

Step 4: Therefore, the least common multiple of 6351 and 6358 is 40379658.