Least Common Multiple of 1242 and 1248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1242 and 1248 the smallest integer that is 258336 that is divisible by both numbers.

Least Common Multiple (LCM) of 1242 and 1248 is 258336.

LCM(1242,1248) = 258336

LCM of 1242 and 1248

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

LCM of:
and

Least Common Multiple of 1242 and 1248

LCM of 1242 and 1248 is 258336

Least common multiple can be found by multiplying the highest exponent prime factors of 1242 and 1248. First we will calculate the prime factors of 1242 and 1248.

Prime Factorization of 1242


2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 1242 are 2, 3,23. Prime factorization of 1242 in exponential form is:

1242 = 21×33×231

Prime Factorization of 1248


2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 1248 are 2, 3,13. Prime factorization of 1248 in exponential form is:

1248 = 25×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1242 and 1248.

LCM(1242,1248) = 25×33×131×231
LCM(1242,1248) = 258336

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248

Least Common Multiple of 1242 and 1248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1242 and 1248, than apply into the LCM equation.

GCF(1242,1248) = 6
LCM(1242,1248) = ( 1242 × 1248) / 6
LCM(1242,1248) = 1550016 / 6
LCM(1242,1248) = 258336

Properties of LCM 1242 and 1248

(i) The LCM of 1248 and 1242 is associative

LCM of 1242 and 1248 = LCM of 1248 and 1242

Related Least Common Multiples of 1242

Related Least Common Multiples of 1248

Frequently Asked Questions on LCM of 1242 and 1248

1. What is the LCM of 1242 and 1248?

Answer: LCM of 1242 and 1248 is 258336.

2. What are the Factors of 1242?

Answer: Factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242. There are 16 integers that are factors of 1242. The greatest factor of 1242 is 1242.

3. What are the Factors of 1248?

Answer: Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. There are 24 integers that are factors of 1248. The greatest factor of 1248 is 1248.

4. How to Find the LCM of 1242 and 1248?

Answer:

Least Common Multiple of 1242 and 1248 = 258336

Step 1: Find the prime factorization of 1242

1242 = 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 1248

1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 258336 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 23

Step 4: Therefore, the least common multiple of 1242 and 1248 is 258336.