Least Common Multiple of 6234 and 6238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6234 and 6238 the smallest integer that is 19443846 that is divisible by both numbers.

Least Common Multiple (LCM) of 6234 and 6238 is 19443846.

LCM(6234,6238) = 19443846

LCM of 6234 and 6238

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

LCM of:
and

Least Common Multiple of 6234 and 6238

LCM of 6234 and 6238 is 19443846

Least common multiple can be found by multiplying the highest exponent prime factors of 6234 and 6238. First we will calculate the prime factors of 6234 and 6238.

Prime Factorization of 6234


2 6234
3 3117
1039 1039
1

Prime factors of 6234 are 2, 3,1039. Prime factorization of 6234 in exponential form is:

6234 = 21×31×10391

Prime Factorization of 6238


2 6238
3119 3119
1

Prime factors of 6238 are 2,3119. Prime factorization of 6238 in exponential form is:

6238 = 21×31191

Now multiplying the highest exponent prime factors to calculate the LCM of 6234 and 6238.

LCM(6234,6238) = 21×31×10391×31191
LCM(6234,6238) = 19443846

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1, 2, 3, 6, 1039, 2078, 3117, 6234

Factors of 6238

List of positive integer factors of 6238 that divides 6238 without a remainder.

1, 2, 3119, 6238

Least Common Multiple of 6234 and 6238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6234 and 6238, than apply into the LCM equation.

GCF(6234,6238) = 2
LCM(6234,6238) = ( 6234 × 6238) / 2
LCM(6234,6238) = 38887692 / 2
LCM(6234,6238) = 19443846

Properties of LCM 6234 and 6238

(i) The LCM of 6238 and 6234 is associative

LCM of 6234 and 6238 = LCM of 6238 and 6234

Related Least Common Multiples of 6234

Related Least Common Multiples of 6238

Frequently Asked Questions on LCM of 6234 and 6238

1. What is the LCM of 6234 and 6238?

Answer: LCM of 6234 and 6238 is 19443846.

2. What are the Factors of 6234?

Answer: Factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234. There are 8 integers that are factors of 6234. The greatest factor of 6234 is 6234.

3. What are the Factors of 6238?

Answer: Factors of 6238 are 1, 2, 3119, 6238. There are 4 integers that are factors of 6238. The greatest factor of 6238 is 6238.

4. How to Find the LCM of 6234 and 6238?

Answer:

Least Common Multiple of 6234 and 6238 = 19443846

Step 1: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

Step 2: Find the prime factorization of 6238

6238 = 2 x 3119

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

LCM = 19443846 = 2 x 3 x 1039 x 3119

Step 4: Therefore, the least common multiple of 6234 and 6238 is 19443846.