Least Common Multiple of 7234 and 7242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7234 and 7242 the smallest integer that is 26194314 that is divisible by both numbers.

Least Common Multiple (LCM) of 7234 and 7242 is 26194314.

LCM(7234,7242) = 26194314

LCM of 7234 and 7242

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

LCM of:
and

Least Common Multiple of 7234 and 7242

LCM of 7234 and 7242 is 26194314

Least common multiple can be found by multiplying the highest exponent prime factors of 7234 and 7242. First we will calculate the prime factors of 7234 and 7242.

Prime Factorization of 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

Prime Factorization of 7242


2 7242
3 3621
17 1207
71 71
1

Prime factors of 7242 are 2, 3, 17,71. Prime factorization of 7242 in exponential form is:

7242 = 21×31×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7234 and 7242.

LCM(7234,7242) = 21×31×171×711×36171
LCM(7234,7242) = 26194314

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Factors of 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242

Least Common Multiple of 7234 and 7242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7234 and 7242, than apply into the LCM equation.

GCF(7234,7242) = 2
LCM(7234,7242) = ( 7234 × 7242) / 2
LCM(7234,7242) = 52388628 / 2
LCM(7234,7242) = 26194314

Properties of LCM 7234 and 7242

(i) The LCM of 7242 and 7234 is associative

LCM of 7234 and 7242 = LCM of 7242 and 7234

Related Least Common Multiples of 7234

Related Least Common Multiples of 7242

Frequently Asked Questions on LCM of 7234 and 7242

1. What is the LCM of 7234 and 7242?

Answer: LCM of 7234 and 7242 is 26194314.

2. What are the Factors of 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

3. What are the Factors of 7242?

Answer: Factors of 7242 are 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242. There are 16 integers that are factors of 7242. The greatest factor of 7242 is 7242.

4. How to Find the LCM of 7234 and 7242?

Answer:

Least Common Multiple of 7234 and 7242 = 26194314

Step 1: Find the prime factorization of 7234

7234 = 2 x 3617

Step 2: Find the prime factorization of 7242

7242 = 2 x 3 x 17 x 71

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

LCM = 26194314 = 2 x 3 x 17 x 71 x 3617

Step 4: Therefore, the least common multiple of 7234 and 7242 is 26194314.