Least Common Multiple of 1238 and 1245

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 1245 the smallest integer that is 1541310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1245 is 1541310.

LCM(1238,1245) = 1541310

LCM of 1238 and 1245

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

LCM of:
and

Least Common Multiple of 1238 and 1245

LCM of 1238 and 1245 is 1541310

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1245. First we will calculate the prime factors of 1238 and 1245.

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 1245


3 1245
5 415
83 83
1

Prime factors of 1245 are 3, 5,83. Prime factorization of 1245 in exponential form is:

1245 = 31×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1245.

LCM(1238,1245) = 21×31×51×831×6191
LCM(1238,1245) = 1541310

Factors of 1238

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

1, 2, 619, 1238

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1, 3, 5, 15, 83, 249, 415, 1245

Least Common Multiple of 1238 and 1245 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 1245, than apply into the LCM equation.

GCF(1238,1245) = 1
LCM(1238,1245) = ( 1238 × 1245) / 1
LCM(1238,1245) = 1541310 / 1
LCM(1238,1245) = 1541310

Properties of LCM 1238 and 1245

(i) The LCM of 1245 and 1238 is associative

LCM of 1238 and 1245 = LCM of 1245 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1245

Frequently Asked Questions on LCM of 1238 and 1245

1. What is the LCM of 1238 and 1245?

Answer: LCM of 1238 and 1245 is 1541310.

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 1245?

Answer: Factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245. There are 8 integers that are factors of 1245. The greatest factor of 1245 is 1245.

4. How to Find the LCM of 1238 and 1245?

Answer:

Least Common Multiple of 1238 and 1245 = 1541310

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1245

1245 = 3 x 5 x 83

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

LCM = 1541310 = 2 x 3 x 5 x 83 x 619

Step 4: Therefore, the least common multiple of 1238 and 1245 is 1541310.