Least Common Multiple of 7242 and 7243

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 7243 the smallest integer that is 52453806 that is divisible by both numbers.

Least Common Multiple (LCM) of 7242 and 7243 is 52453806.

LCM(7242,7243) = 52453806

LCM of 7242 and 7243

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

LCM of:
and

Least Common Multiple of 7242 and 7243

LCM of 7242 and 7243 is 52453806

Least common multiple can be found by multiplying the highest exponent prime factors of 7242 and 7243. First we will calculate the prime factors of 7242 and 7243.

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 7243


7243 7243
1

Prime factors of 7243 are 7243. Prime factorization of 7243 in exponential form is:

7243 = 72431

Now multiplying the highest exponent prime factors to calculate the LCM of 7242 and 7243.

LCM(7242,7243) = 21×31×171×711×72431
LCM(7242,7243) = 52453806

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 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1, 7243

Least Common Multiple of 7242 and 7243 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 7243, than apply into the LCM equation.

GCF(7242,7243) = 1
LCM(7242,7243) = ( 7242 × 7243) / 1
LCM(7242,7243) = 52453806 / 1
LCM(7242,7243) = 52453806

Properties of LCM 7242 and 7243

(i) The LCM of 7243 and 7242 is associative

LCM of 7242 and 7243 = LCM of 7243 and 7242

Related Least Common Multiples of 7242

Related Least Common Multiples of 7243

Frequently Asked Questions on LCM of 7242 and 7243

1. What is the LCM of 7242 and 7243?

Answer: LCM of 7242 and 7243 is 52453806.

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 7243?

Answer: Factors of 7243 are 1, 7243. There are 2 integers that are factors of 7243. The greatest factor of 7243 is 7243.

4. How to Find the LCM of 7242 and 7243?

Answer:

Least Common Multiple of 7242 and 7243 = 52453806

Step 1: Find the prime factorization of 7242

7242 = 2 x 3 x 17 x 71

Step 2: Find the prime factorization of 7243

7243 = 7243

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

LCM = 52453806 = 2 x 3 x 17 x 71 x 7243

Step 4: Therefore, the least common multiple of 7242 and 7243 is 52453806.