Least Common Multiple of 6230 and 6234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6230 and 6234 the smallest integer that is 19418910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6230 and 6234 is 19418910.

LCM(6230,6234) = 19418910

LCM of 6230 and 6234

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

LCM of:
and

Least Common Multiple of 6230 and 6234

LCM of 6230 and 6234 is 19418910

Least common multiple can be found by multiplying the highest exponent prime factors of 6230 and 6234. First we will calculate the prime factors of 6230 and 6234.

Prime Factorization of 6230


2 6230
5 3115
7 623
89 89
1

Prime factors of 6230 are 2, 5, 7,89. Prime factorization of 6230 in exponential form is:

6230 = 21×51×71×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6230 and 6234.

LCM(6230,6234) = 21×31×51×71×891×10391
LCM(6230,6234) = 19418910

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230

Factors of 6234

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

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

Least Common Multiple of 6230 and 6234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6230 and 6234, than apply into the LCM equation.

GCF(6230,6234) = 2
LCM(6230,6234) = ( 6230 × 6234) / 2
LCM(6230,6234) = 38837820 / 2
LCM(6230,6234) = 19418910

Properties of LCM 6230 and 6234

(i) The LCM of 6234 and 6230 is associative

LCM of 6230 and 6234 = LCM of 6234 and 6230

Related Least Common Multiples of 6230

Related Least Common Multiples of 6234

Frequently Asked Questions on LCM of 6230 and 6234

1. What is the LCM of 6230 and 6234?

Answer: LCM of 6230 and 6234 is 19418910.

2. What are the Factors of 6230?

Answer: Factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230. There are 16 integers that are factors of 6230. The greatest factor of 6230 is 6230.

3. 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.

4. How to Find the LCM of 6230 and 6234?

Answer:

Least Common Multiple of 6230 and 6234 = 19418910

Step 1: Find the prime factorization of 6230

6230 = 2 x 5 x 7 x 89

Step 2: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

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

LCM = 19418910 = 2 x 3 x 5 x 7 x 89 x 1039

Step 4: Therefore, the least common multiple of 6230 and 6234 is 19418910.