Least Common Multiple of 7242 and 7249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7242 and 7249 the smallest integer that is 52497258 that is divisible by both numbers.

Least Common Multiple (LCM) of 7242 and 7249 is 52497258.

LCM(7242,7249) = 52497258

LCM of 7242 and 7249

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

LCM of:
and

Least Common Multiple of 7242 and 7249

LCM of 7242 and 7249 is 52497258

Least common multiple can be found by multiplying the highest exponent prime factors of 7242 and 7249. First we will calculate the prime factors of 7242 and 7249.

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

Prime Factorization of 7249


11 7249
659 659
1

Prime factors of 7249 are 11,659. Prime factorization of 7249 in exponential form is:

7249 = 111×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 7242 and 7249.

LCM(7242,7249) = 21×31×111×171×711×6591
LCM(7242,7249) = 52497258

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

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1, 11, 659, 7249

Least Common Multiple of 7242 and 7249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7242 and 7249, than apply into the LCM equation.

GCF(7242,7249) = 1
LCM(7242,7249) = ( 7242 × 7249) / 1
LCM(7242,7249) = 52497258 / 1
LCM(7242,7249) = 52497258

Properties of LCM 7242 and 7249

(i) The LCM of 7249 and 7242 is associative

LCM of 7242 and 7249 = LCM of 7249 and 7242

Related Least Common Multiples of 7242

Related Least Common Multiples of 7249

Frequently Asked Questions on LCM of 7242 and 7249

1. What is the LCM of 7242 and 7249?

Answer: LCM of 7242 and 7249 is 52497258.

2. 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.

3. What are the Factors of 7249?

Answer: Factors of 7249 are 1, 11, 659, 7249. There are 4 integers that are factors of 7249. The greatest factor of 7249 is 7249.

4. How to Find the LCM of 7242 and 7249?

Answer:

Least Common Multiple of 7242 and 7249 = 52497258

Step 1: Find the prime factorization of 7242

7242 = 2 x 3 x 17 x 71

Step 2: Find the prime factorization of 7249

7249 = 11 x 659

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

LCM = 52497258 = 2 x 3 x 11 x 17 x 71 x 659

Step 4: Therefore, the least common multiple of 7242 and 7249 is 52497258.