Least Common Multiple of 1238 and 1241

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 1241 the smallest integer that is 1536358 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1241 is 1536358.

LCM(1238,1241) = 1536358

LCM of 1238 and 1241

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

LCM of:
and

Least Common Multiple of 1238 and 1241

LCM of 1238 and 1241 is 1536358

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1241. First we will calculate the prime factors of 1238 and 1241.

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 1241


17 1241
73 73
1

Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:

1241 = 171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1241.

LCM(1238,1241) = 21×171×731×6191
LCM(1238,1241) = 1536358

Factors of 1238

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

1, 2, 619, 1238

Factors of 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1, 17, 73, 1241

Least Common Multiple of 1238 and 1241 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 1241, than apply into the LCM equation.

GCF(1238,1241) = 1
LCM(1238,1241) = ( 1238 × 1241) / 1
LCM(1238,1241) = 1536358 / 1
LCM(1238,1241) = 1536358

Properties of LCM 1238 and 1241

(i) The LCM of 1241 and 1238 is associative

LCM of 1238 and 1241 = LCM of 1241 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1241

Frequently Asked Questions on LCM of 1238 and 1241

1. What is the LCM of 1238 and 1241?

Answer: LCM of 1238 and 1241 is 1536358.

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 1241?

Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.

4. How to Find the LCM of 1238 and 1241?

Answer:

Least Common Multiple of 1238 and 1241 = 1536358

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1241

1241 = 17 x 73

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

LCM = 1536358 = 2 x 17 x 73 x 619

Step 4: Therefore, the least common multiple of 1238 and 1241 is 1536358.