Least Common Multiple of 6351 and 6357

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 6357 the smallest integer that is 13457769 that is divisible by both numbers.

Least Common Multiple (LCM) of 6351 and 6357 is 13457769.

LCM(6351,6357) = 13457769

LCM of 6351 and 6357

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

LCM of:
and

Least Common Multiple of 6351 and 6357

LCM of 6351 and 6357 is 13457769

Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6357. First we will calculate the prime factors of 6351 and 6357.

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 6357


3 6357
13 2119
163 163
1

Prime factors of 6357 are 3, 13,163. Prime factorization of 6357 in exponential form is:

6357 = 31×131×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6357.

LCM(6351,6357) = 31×131×291×731×1631
LCM(6351,6357) = 13457769

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 6357

List of positive integer factors of 6357 that divides 6357 without a remainder.

1, 3, 13, 39, 163, 489, 2119, 6357

Least Common Multiple of 6351 and 6357 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 6357, than apply into the LCM equation.

GCF(6351,6357) = 3
LCM(6351,6357) = ( 6351 × 6357) / 3
LCM(6351,6357) = 40373307 / 3
LCM(6351,6357) = 13457769

Properties of LCM 6351 and 6357

(i) The LCM of 6357 and 6351 is associative

LCM of 6351 and 6357 = LCM of 6357 and 6351

Frequently Asked Questions on LCM of 6351 and 6357

1. What is the LCM of 6351 and 6357?

Answer: LCM of 6351 and 6357 is 13457769.

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 6357?

Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.

4. How to Find the LCM of 6351 and 6357?

Answer:

Least Common Multiple of 6351 and 6357 = 13457769

Step 1: Find the prime factorization of 6351

6351 = 3 x 29 x 73

Step 2: Find the prime factorization of 6357

6357 = 3 x 13 x 163

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

LCM = 13457769 = 3 x 13 x 29 x 73 x 163

Step 4: Therefore, the least common multiple of 6351 and 6357 is 13457769.