Least Common Multiple of 6234 and 6242

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 6242 the smallest integer that is 19456314 that is divisible by both numbers.

Least Common Multiple (LCM) of 6234 and 6242 is 19456314.

LCM(6234,6242) = 19456314

LCM of 6234 and 6242

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

LCM of:
and

Least Common Multiple of 6234 and 6242

LCM of 6234 and 6242 is 19456314

Least common multiple can be found by multiplying the highest exponent prime factors of 6234 and 6242. First we will calculate the prime factors of 6234 and 6242.

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 6242


2 6242
3121 3121
1

Prime factors of 6242 are 2,3121. Prime factorization of 6242 in exponential form is:

6242 = 21×31211

Now multiplying the highest exponent prime factors to calculate the LCM of 6234 and 6242.

LCM(6234,6242) = 21×31×10391×31211
LCM(6234,6242) = 19456314

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 6242

List of positive integer factors of 6242 that divides 6242 without a remainder.

1, 2, 3121, 6242

Least Common Multiple of 6234 and 6242 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 6242, than apply into the LCM equation.

GCF(6234,6242) = 2
LCM(6234,6242) = ( 6234 × 6242) / 2
LCM(6234,6242) = 38912628 / 2
LCM(6234,6242) = 19456314

Properties of LCM 6234 and 6242

(i) The LCM of 6242 and 6234 is associative

LCM of 6234 and 6242 = LCM of 6242 and 6234

Related Least Common Multiples of 6234

Related Least Common Multiples of 6242

Frequently Asked Questions on LCM of 6234 and 6242

1. What is the LCM of 6234 and 6242?

Answer: LCM of 6234 and 6242 is 19456314.

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 6242?

Answer: Factors of 6242 are 1, 2, 3121, 6242. There are 4 integers that are factors of 6242. The greatest factor of 6242 is 6242.

4. How to Find the LCM of 6234 and 6242?

Answer:

Least Common Multiple of 6234 and 6242 = 19456314

Step 1: Find the prime factorization of 6234

6234 = 2 x 3 x 1039

Step 2: Find the prime factorization of 6242

6242 = 2 x 3121

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

LCM = 19456314 = 2 x 3 x 1039 x 3121

Step 4: Therefore, the least common multiple of 6234 and 6242 is 19456314.