Least Common Multiple of 3234 and 3242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3234 and 3242 the smallest integer that is 5242314 that is divisible by both numbers.

Least Common Multiple (LCM) of 3234 and 3242 is 5242314.

LCM(3234,3242) = 5242314

LCM of 3234 and 3242

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

LCM of:
and

Least Common Multiple of 3234 and 3242

LCM of 3234 and 3242 is 5242314

Least common multiple can be found by multiplying the highest exponent prime factors of 3234 and 3242. First we will calculate the prime factors of 3234 and 3242.

Prime Factorization of 3234


2 3234
3 1617
7 539
7 77
11 11
1

Prime factors of 3234 are 2, 3, 7,11. Prime factorization of 3234 in exponential form is:

3234 = 21×31×72×111

Prime Factorization of 3242


2 3242
1621 1621
1

Prime factors of 3242 are 2,1621. Prime factorization of 3242 in exponential form is:

3242 = 21×16211

Now multiplying the highest exponent prime factors to calculate the LCM of 3234 and 3242.

LCM(3234,3242) = 21×31×72×111×16211
LCM(3234,3242) = 5242314

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234

Factors of 3242

List of positive integer factors of 3242 that divides 3242 without a remainder.

1, 2, 1621, 3242

Least Common Multiple of 3234 and 3242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3234 and 3242, than apply into the LCM equation.

GCF(3234,3242) = 2
LCM(3234,3242) = ( 3234 × 3242) / 2
LCM(3234,3242) = 10484628 / 2
LCM(3234,3242) = 5242314

Properties of LCM 3234 and 3242

(i) The LCM of 3242 and 3234 is associative

LCM of 3234 and 3242 = LCM of 3242 and 3234

Related Least Common Multiples of 3234

Related Least Common Multiples of 3242

Frequently Asked Questions on LCM of 3234 and 3242

1. What is the LCM of 3234 and 3242?

Answer: LCM of 3234 and 3242 is 5242314.

2. What are the Factors of 3234?

Answer: Factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234. There are 24 integers that are factors of 3234. The greatest factor of 3234 is 3234.

3. What are the Factors of 3242?

Answer: Factors of 3242 are 1, 2, 1621, 3242. There are 4 integers that are factors of 3242. The greatest factor of 3242 is 3242.

4. How to Find the LCM of 3234 and 3242?

Answer:

Least Common Multiple of 3234 and 3242 = 5242314

Step 1: Find the prime factorization of 3234

3234 = 2 x 3 x 7 x 7 x 11

Step 2: Find the prime factorization of 3242

3242 = 2 x 1621

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

LCM = 5242314 = 2 x 3 x 7 x 7 x 11 x 1621

Step 4: Therefore, the least common multiple of 3234 and 3242 is 5242314.