Least Common Multiple of 7242 and 7248

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 7248 the smallest integer that is 8748336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7242 and 7248 is 8748336.

LCM(7242,7248) = 8748336

LCM of 7242 and 7248

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

LCM of:
and

Least Common Multiple of 7242 and 7248

LCM of 7242 and 7248 is 8748336

Least common multiple can be found by multiplying the highest exponent prime factors of 7242 and 7248. First we will calculate the prime factors of 7242 and 7248.

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 7248


2 7248
2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 7248 are 2, 3,151. Prime factorization of 7248 in exponential form is:

7248 = 24×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7242 and 7248.

LCM(7242,7248) = 24×31×171×711×1511
LCM(7242,7248) = 8748336

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 7248

List of positive integer factors of 7248 that divides 7248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248

Least Common Multiple of 7242 and 7248 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 7248, than apply into the LCM equation.

GCF(7242,7248) = 6
LCM(7242,7248) = ( 7242 × 7248) / 6
LCM(7242,7248) = 52490016 / 6
LCM(7242,7248) = 8748336

Properties of LCM 7242 and 7248

(i) The LCM of 7248 and 7242 is associative

LCM of 7242 and 7248 = LCM of 7248 and 7242

Related Least Common Multiples of 7242

Related Least Common Multiples of 7248

Frequently Asked Questions on LCM of 7242 and 7248

1. What is the LCM of 7242 and 7248?

Answer: LCM of 7242 and 7248 is 8748336.

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 7248?

Answer: Factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248. There are 20 integers that are factors of 7248. The greatest factor of 7248 is 7248.

4. How to Find the LCM of 7242 and 7248?

Answer:

Least Common Multiple of 7242 and 7248 = 8748336

Step 1: Find the prime factorization of 7242

7242 = 2 x 3 x 17 x 71

Step 2: Find the prime factorization of 7248

7248 = 2 x 2 x 2 x 2 x 3 x 151

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

LCM = 8748336 = 2 x 2 x 2 x 2 x 3 x 17 x 71 x 151

Step 4: Therefore, the least common multiple of 7242 and 7248 is 8748336.