Least Common Multiple of 6348 and 6352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6348 and 6352 the smallest integer that is 10080624 that is divisible by both numbers.

Least Common Multiple (LCM) of 6348 and 6352 is 10080624.

LCM(6348,6352) = 10080624

LCM of 6348 and 6352

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

LCM of:
and

Least Common Multiple of 6348 and 6352

LCM of 6348 and 6352 is 10080624

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6352. First we will calculate the prime factors of 6348 and 6352.

Prime Factorization of 6348


2 6348
2 3174
3 1587
23 529
23 23
1

Prime factors of 6348 are 2, 3,23. Prime factorization of 6348 in exponential form is:

6348 = 22×31×232

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6352.

LCM(6348,6352) = 24×31×232×3971
LCM(6348,6352) = 10080624

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348

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

Least Common Multiple of 6348 and 6352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6352, than apply into the LCM equation.

GCF(6348,6352) = 4
LCM(6348,6352) = ( 6348 × 6352) / 4
LCM(6348,6352) = 40322496 / 4
LCM(6348,6352) = 10080624

Properties of LCM 6348 and 6352

(i) The LCM of 6352 and 6348 is associative

LCM of 6348 and 6352 = LCM of 6352 and 6348

Related Least Common Multiples of 6348

Related Least Common Multiples of 6352

Frequently Asked Questions on LCM of 6348 and 6352

1. What is the LCM of 6348 and 6352?

Answer: LCM of 6348 and 6352 is 10080624.

2. What are the Factors of 6348?

Answer: Factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348. There are 18 integers that are factors of 6348. The greatest factor of 6348 is 6348.

3. 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.

4. How to Find the LCM of 6348 and 6352?

Answer:

Least Common Multiple of 6348 and 6352 = 10080624

Step 1: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 6352

6352 = 2 x 2 x 2 x 2 x 397

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

LCM = 10080624 = 2 x 2 x 2 x 2 x 3 x 23 x 23 x 397

Step 4: Therefore, the least common multiple of 6348 and 6352 is 10080624.