Least Common Multiple of 6342 and 6347

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 6347 the smallest integer that is 40252674 that is divisible by both numbers.

Least Common Multiple (LCM) of 6342 and 6347 is 40252674.

LCM(6342,6347) = 40252674

LCM of 6342 and 6347

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

LCM of:
and

Least Common Multiple of 6342 and 6347

LCM of 6342 and 6347 is 40252674

Least common multiple can be found by multiplying the highest exponent prime factors of 6342 and 6347. First we will calculate the prime factors of 6342 and 6347.

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 6347


11 6347
577 577
1

Prime factors of 6347 are 11,577. Prime factorization of 6347 in exponential form is:

6347 = 111×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 6342 and 6347.

LCM(6342,6347) = 21×31×71×111×1511×5771
LCM(6342,6347) = 40252674

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 6347

List of positive integer factors of 6347 that divides 6347 without a remainder.

1, 11, 577, 6347

Least Common Multiple of 6342 and 6347 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 6347, than apply into the LCM equation.

GCF(6342,6347) = 1
LCM(6342,6347) = ( 6342 × 6347) / 1
LCM(6342,6347) = 40252674 / 1
LCM(6342,6347) = 40252674

Properties of LCM 6342 and 6347

(i) The LCM of 6347 and 6342 is associative

LCM of 6342 and 6347 = LCM of 6347 and 6342

Related Least Common Multiples of 6342

Related Least Common Multiples of 6347

Frequently Asked Questions on LCM of 6342 and 6347

1. What is the LCM of 6342 and 6347?

Answer: LCM of 6342 and 6347 is 40252674.

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 6347?

Answer: Factors of 6347 are 1, 11, 577, 6347. There are 4 integers that are factors of 6347. The greatest factor of 6347 is 6347.

4. How to Find the LCM of 6342 and 6347?

Answer:

Least Common Multiple of 6342 and 6347 = 40252674

Step 1: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

Step 2: Find the prime factorization of 6347

6347 = 11 x 577

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

LCM = 40252674 = 2 x 3 x 7 x 11 x 151 x 577

Step 4: Therefore, the least common multiple of 6342 and 6347 is 40252674.