Least Common Multiple of 6348 and 6355

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 6355 the smallest integer that is 40341540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6348 and 6355 is 40341540.

LCM(6348,6355) = 40341540

LCM of 6348 and 6355

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

LCM of:
and

Least Common Multiple of 6348 and 6355

LCM of 6348 and 6355 is 40341540

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6355. First we will calculate the prime factors of 6348 and 6355.

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 6355


5 6355
31 1271
41 41
1

Prime factors of 6355 are 5, 31,41. Prime factorization of 6355 in exponential form is:

6355 = 51×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6355.

LCM(6348,6355) = 22×31×51×232×311×411
LCM(6348,6355) = 40341540

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 6355

List of positive integer factors of 6355 that divides 6355 without a remainder.

1, 5, 31, 41, 155, 205, 1271, 6355

Least Common Multiple of 6348 and 6355 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 6355, than apply into the LCM equation.

GCF(6348,6355) = 1
LCM(6348,6355) = ( 6348 × 6355) / 1
LCM(6348,6355) = 40341540 / 1
LCM(6348,6355) = 40341540

Properties of LCM 6348 and 6355

(i) The LCM of 6355 and 6348 is associative

LCM of 6348 and 6355 = LCM of 6355 and 6348

Related Least Common Multiples of 6348

Related Least Common Multiples of 6355

Frequently Asked Questions on LCM of 6348 and 6355

1. What is the LCM of 6348 and 6355?

Answer: LCM of 6348 and 6355 is 40341540.

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 6355?

Answer: Factors of 6355 are 1, 5, 31, 41, 155, 205, 1271, 6355. There are 8 integers that are factors of 6355. The greatest factor of 6355 is 6355.

4. How to Find the LCM of 6348 and 6355?

Answer:

Least Common Multiple of 6348 and 6355 = 40341540

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 6355

6355 = 5 x 31 x 41

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

LCM = 40341540 = 2 x 2 x 3 x 5 x 23 x 23 x 31 x 41

Step 4: Therefore, the least common multiple of 6348 and 6355 is 40341540.