Least Common Multiple of 6334 and 6342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6334 and 6342 the smallest integer that is 20085114 that is divisible by both numbers.

Least Common Multiple (LCM) of 6334 and 6342 is 20085114.

LCM(6334,6342) = 20085114

LCM of 6334 and 6342

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

LCM of:
and

Least Common Multiple of 6334 and 6342

LCM of 6334 and 6342 is 20085114

Least common multiple can be found by multiplying the highest exponent prime factors of 6334 and 6342. First we will calculate the prime factors of 6334 and 6342.

Prime Factorization of 6334


2 6334
3167 3167
1

Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:

6334 = 21×31671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6334 and 6342.

LCM(6334,6342) = 21×31×71×1511×31671
LCM(6334,6342) = 20085114

Factors of 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1, 2, 3167, 6334

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

Least Common Multiple of 6334 and 6342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6334 and 6342, than apply into the LCM equation.

GCF(6334,6342) = 2
LCM(6334,6342) = ( 6334 × 6342) / 2
LCM(6334,6342) = 40170228 / 2
LCM(6334,6342) = 20085114

Properties of LCM 6334 and 6342

(i) The LCM of 6342 and 6334 is associative

LCM of 6334 and 6342 = LCM of 6342 and 6334

Related Least Common Multiples of 6334

Related Least Common Multiples of 6342

Frequently Asked Questions on LCM of 6334 and 6342

1. What is the LCM of 6334 and 6342?

Answer: LCM of 6334 and 6342 is 20085114.

2. What are the Factors of 6334?

Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.

3. 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.

4. How to Find the LCM of 6334 and 6342?

Answer:

Least Common Multiple of 6334 and 6342 = 20085114

Step 1: Find the prime factorization of 6334

6334 = 2 x 3167

Step 2: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

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

LCM = 20085114 = 2 x 3 x 7 x 151 x 3167

Step 4: Therefore, the least common multiple of 6334 and 6342 is 20085114.