Least Common Multiple of 6351 and 6356

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 6356 the smallest integer that is 40366956 that is divisible by both numbers.

Least Common Multiple (LCM) of 6351 and 6356 is 40366956.

LCM(6351,6356) = 40366956

LCM of 6351 and 6356

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

LCM of:
and

Least Common Multiple of 6351 and 6356

LCM of 6351 and 6356 is 40366956

Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6356. First we will calculate the prime factors of 6351 and 6356.

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 6356


2 6356
2 3178
7 1589
227 227
1

Prime factors of 6356 are 2, 7,227. Prime factorization of 6356 in exponential form is:

6356 = 22×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6356.

LCM(6351,6356) = 22×31×71×291×731×2271
LCM(6351,6356) = 40366956

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 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356

Least Common Multiple of 6351 and 6356 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 6356, than apply into the LCM equation.

GCF(6351,6356) = 1
LCM(6351,6356) = ( 6351 × 6356) / 1
LCM(6351,6356) = 40366956 / 1
LCM(6351,6356) = 40366956

Properties of LCM 6351 and 6356

(i) The LCM of 6356 and 6351 is associative

LCM of 6351 and 6356 = LCM of 6356 and 6351

Related Least Common Multiples of 6351

Related Least Common Multiples of 6356

Frequently Asked Questions on LCM of 6351 and 6356

1. What is the LCM of 6351 and 6356?

Answer: LCM of 6351 and 6356 is 40366956.

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 6356?

Answer: Factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356. There are 12 integers that are factors of 6356. The greatest factor of 6356 is 6356.

4. How to Find the LCM of 6351 and 6356?

Answer:

Least Common Multiple of 6351 and 6356 = 40366956

Step 1: Find the prime factorization of 6351

6351 = 3 x 29 x 73

Step 2: Find the prime factorization of 6356

6356 = 2 x 2 x 7 x 227

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

LCM = 40366956 = 2 x 2 x 3 x 7 x 29 x 73 x 227

Step 4: Therefore, the least common multiple of 6351 and 6356 is 40366956.