Least Common Multiple of 7242 and 7247

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 7247 the smallest integer that is 52482774 that is divisible by both numbers.

Least Common Multiple (LCM) of 7242 and 7247 is 52482774.

LCM(7242,7247) = 52482774

LCM of 7242 and 7247

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

LCM of:
and

Least Common Multiple of 7242 and 7247

LCM of 7242 and 7247 is 52482774

Least common multiple can be found by multiplying the highest exponent prime factors of 7242 and 7247. First we will calculate the prime factors of 7242 and 7247.

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 7247


7247 7247
1

Prime factors of 7247 are 7247. Prime factorization of 7247 in exponential form is:

7247 = 72471

Now multiplying the highest exponent prime factors to calculate the LCM of 7242 and 7247.

LCM(7242,7247) = 21×31×171×711×72471
LCM(7242,7247) = 52482774

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 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1, 7247

Least Common Multiple of 7242 and 7247 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 7247, than apply into the LCM equation.

GCF(7242,7247) = 1
LCM(7242,7247) = ( 7242 × 7247) / 1
LCM(7242,7247) = 52482774 / 1
LCM(7242,7247) = 52482774

Properties of LCM 7242 and 7247

(i) The LCM of 7247 and 7242 is associative

LCM of 7242 and 7247 = LCM of 7247 and 7242

Related Least Common Multiples of 7242

Related Least Common Multiples of 7247

Frequently Asked Questions on LCM of 7242 and 7247

1. What is the LCM of 7242 and 7247?

Answer: LCM of 7242 and 7247 is 52482774.

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 7247?

Answer: Factors of 7247 are 1, 7247. There are 2 integers that are factors of 7247. The greatest factor of 7247 is 7247.

4. How to Find the LCM of 7242 and 7247?

Answer:

Least Common Multiple of 7242 and 7247 = 52482774

Step 1: Find the prime factorization of 7242

7242 = 2 x 3 x 17 x 71

Step 2: Find the prime factorization of 7247

7247 = 7247

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

LCM = 52482774 = 2 x 3 x 17 x 71 x 7247

Step 4: Therefore, the least common multiple of 7242 and 7247 is 52482774.