Least Common Multiple of 1238 and 1244

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 1244 the smallest integer that is 770036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1238 and 1244 is 770036.

LCM(1238,1244) = 770036

LCM of 1238 and 1244

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

LCM of:
and

Least Common Multiple of 1238 and 1244

LCM of 1238 and 1244 is 770036

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1244. First we will calculate the prime factors of 1238 and 1244.

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 1244


2 1244
2 622
311 311
1

Prime factors of 1244 are 2,311. Prime factorization of 1244 in exponential form is:

1244 = 22×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1244.

LCM(1238,1244) = 22×3111×6191
LCM(1238,1244) = 770036

Factors of 1238

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

1, 2, 619, 1238

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1, 2, 4, 311, 622, 1244

Least Common Multiple of 1238 and 1244 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 1244, than apply into the LCM equation.

GCF(1238,1244) = 2
LCM(1238,1244) = ( 1238 × 1244) / 2
LCM(1238,1244) = 1540072 / 2
LCM(1238,1244) = 770036

Properties of LCM 1238 and 1244

(i) The LCM of 1244 and 1238 is associative

LCM of 1238 and 1244 = LCM of 1244 and 1238

Related Least Common Multiples of 1238

Related Least Common Multiples of 1244

Frequently Asked Questions on LCM of 1238 and 1244

1. What is the LCM of 1238 and 1244?

Answer: LCM of 1238 and 1244 is 770036.

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 1244?

Answer: Factors of 1244 are 1, 2, 4, 311, 622, 1244. There are 6 integers that are factors of 1244. The greatest factor of 1244 is 1244.

4. How to Find the LCM of 1238 and 1244?

Answer:

Least Common Multiple of 1238 and 1244 = 770036

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1244

1244 = 2 x 2 x 311

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

LCM = 770036 = 2 x 2 x 311 x 619

Step 4: Therefore, the least common multiple of 1238 and 1244 is 770036.