Least Common Multiple of 6342 and 6348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6342 and 6348 the smallest integer that is 6709836 that is divisible by both numbers.

Least Common Multiple (LCM) of 6342 and 6348 is 6709836.

LCM(6342,6348) = 6709836

LCM of 6342 and 6348

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

LCM of:
and

Least Common Multiple of 6342 and 6348

LCM of 6342 and 6348 is 6709836

Least common multiple can be found by multiplying the highest exponent prime factors of 6342 and 6348. First we will calculate the prime factors of 6342 and 6348.

Prime Factorization of 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6342 and 6348.

LCM(6342,6348) = 22×31×71×232×1511
LCM(6342,6348) = 6709836

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

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

Least Common Multiple of 6342 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6342 and 6348, than apply into the LCM equation.

GCF(6342,6348) = 6
LCM(6342,6348) = ( 6342 × 6348) / 6
LCM(6342,6348) = 40259016 / 6
LCM(6342,6348) = 6709836

Properties of LCM 6342 and 6348

(i) The LCM of 6348 and 6342 is associative

LCM of 6342 and 6348 = LCM of 6348 and 6342

Related Least Common Multiples of 6342

Related Least Common Multiples of 6348

Frequently Asked Questions on LCM of 6342 and 6348

1. What is the LCM of 6342 and 6348?

Answer: LCM of 6342 and 6348 is 6709836.

2. What are the Factors of 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

3. 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.

4. How to Find the LCM of 6342 and 6348?

Answer:

Least Common Multiple of 6342 and 6348 = 6709836

Step 1: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

Step 2: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

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

LCM = 6709836 = 2 x 2 x 3 x 7 x 23 x 23 x 151

Step 4: Therefore, the least common multiple of 6342 and 6348 is 6709836.