Least Common Multiple of 1242 and 1249

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 1249 the smallest integer that is 1551258 that is divisible by both numbers.

Least Common Multiple (LCM) of 1242 and 1249 is 1551258.

LCM(1242,1249) = 1551258

LCM of 1242 and 1249

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

LCM of:
and

Least Common Multiple of 1242 and 1249

LCM of 1242 and 1249 is 1551258

Least common multiple can be found by multiplying the highest exponent prime factors of 1242 and 1249. First we will calculate the prime factors of 1242 and 1249.

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 1249


1249 1249
1

Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:

1249 = 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 1242 and 1249.

LCM(1242,1249) = 21×33×231×12491
LCM(1242,1249) = 1551258

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 1249

List of positive integer factors of 1249 that divides 1249 without a remainder.

1, 1249

Least Common Multiple of 1242 and 1249 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 1249, than apply into the LCM equation.

GCF(1242,1249) = 1
LCM(1242,1249) = ( 1242 × 1249) / 1
LCM(1242,1249) = 1551258 / 1
LCM(1242,1249) = 1551258

Properties of LCM 1242 and 1249

(i) The LCM of 1249 and 1242 is associative

LCM of 1242 and 1249 = LCM of 1249 and 1242

Related Least Common Multiples of 1242

Related Least Common Multiples of 1249

Frequently Asked Questions on LCM of 1242 and 1249

1. What is the LCM of 1242 and 1249?

Answer: LCM of 1242 and 1249 is 1551258.

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 1249?

Answer: Factors of 1249 are 1, 1249. There are 2 integers that are factors of 1249. The greatest factor of 1249 is 1249.

4. How to Find the LCM of 1242 and 1249?

Answer:

Least Common Multiple of 1242 and 1249 = 1551258

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 1249

1249 = 1249

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

LCM = 1551258 = 2 x 3 x 3 x 3 x 23 x 1249

Step 4: Therefore, the least common multiple of 1242 and 1249 is 1551258.