Least Common Multiple of 1238 and 1242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1238 and 1242 the smallest integer that is 768798 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1242 is 768798.

LCM(1238,1242) = 768798

LCM of 1238 and 1242

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

LCM of:
and

Least Common Multiple of 1238 and 1242

LCM of 1238 and 1242 is 768798

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1242. First we will calculate the prime factors of 1238 and 1242.

Prime Factorization of 1238


2 1238
619 619
1

Prime factors of 1238 are 2,619. Prime factorization of 1238 in exponential form is:

1238 = 21×6191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1242.

LCM(1238,1242) = 21×33×231×6191
LCM(1238,1242) = 768798

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1, 2, 619, 1238

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

Least Common Multiple of 1238 and 1242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1238 and 1242, than apply into the LCM equation.

GCF(1238,1242) = 2
LCM(1238,1242) = ( 1238 × 1242) / 2
LCM(1238,1242) = 1537596 / 2
LCM(1238,1242) = 768798

Properties of LCM 1238 and 1242

(i) The LCM of 1242 and 1238 is associative

LCM of 1238 and 1242 = LCM of 1242 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1242

Frequently Asked Questions on LCM of 1238 and 1242

1. What is the LCM of 1238 and 1242?

Answer: LCM of 1238 and 1242 is 768798.

2. What are the Factors of 1238?

Answer: Factors of 1238 are 1, 2, 619, 1238. There are 4 integers that are factors of 1238. The greatest factor of 1238 is 1238.

3. 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.

4. How to Find the LCM of 1238 and 1242?

Answer:

Least Common Multiple of 1238 and 1242 = 768798

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1242

1242 = 2 x 3 x 3 x 3 x 23

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

LCM = 768798 = 2 x 3 x 3 x 3 x 23 x 619

Step 4: Therefore, the least common multiple of 1238 and 1242 is 768798.