Least Common Multiple of 6352 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 6352 and 6357 the smallest integer that is 40379664 that is divisible by both numbers.

Least Common Multiple (LCM) of 6352 and 6357 is 40379664.

LCM(6352,6357) = 40379664

LCM of 6352 and 6357

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

LCM of:
and

Least Common Multiple of 6352 and 6357

LCM of 6352 and 6357 is 40379664

Least common multiple can be found by multiplying the highest exponent prime factors of 6352 and 6357. First we will calculate the prime factors of 6352 and 6357.

Prime Factorization of 6352


2 6352
2 3176
2 1588
2 794
397 397
1

Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:

6352 = 24×3971

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 6352 and 6357.

LCM(6352,6357) = 24×31×131×1631×3971
LCM(6352,6357) = 40379664

Factors of 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352

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 6352 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 6352 and 6357, than apply into the LCM equation.

GCF(6352,6357) = 1
LCM(6352,6357) = ( 6352 × 6357) / 1
LCM(6352,6357) = 40379664 / 1
LCM(6352,6357) = 40379664

Properties of LCM 6352 and 6357

(i) The LCM of 6357 and 6352 is associative

LCM of 6352 and 6357 = LCM of 6357 and 6352

Related Least Common Multiples of 6352

Related Least Common Multiples of 6357

Frequently Asked Questions on LCM of 6352 and 6357

1. What is the LCM of 6352 and 6357?

Answer: LCM of 6352 and 6357 is 40379664.

2. What are the Factors of 6352?

Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.

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 6352 and 6357?

Answer:

Least Common Multiple of 6352 and 6357 = 40379664

Step 1: Find the prime factorization of 6352

6352 = 2 x 2 x 2 x 2 x 397

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 = 40379664 = 2 x 2 x 2 x 2 x 3 x 13 x 163 x 397

Step 4: Therefore, the least common multiple of 6352 and 6357 is 40379664.