Least Common Multiple of 1237 and 1238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1237 and 1238 the smallest integer that is 1531406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1237 and 1238 is 1531406.

LCM(1237,1238) = 1531406

LCM of 1237 and 1238

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

LCM of:
and

Least Common Multiple of 1237 and 1238

LCM of 1237 and 1238 is 1531406

Least common multiple can be found by multiplying the highest exponent prime factors of 1237 and 1238. First we will calculate the prime factors of 1237 and 1238.

Prime Factorization of 1237


1237 1237
1

Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:

1237 = 12371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1237 and 1238.

LCM(1237,1238) = 21×6191×12371
LCM(1237,1238) = 1531406

Factors of 1237

List of positive integer factors of 1237 that divides 1237 without a remainder.

1, 1237

Factors of 1238

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

1, 2, 619, 1238

Least Common Multiple of 1237 and 1238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1237 and 1238, than apply into the LCM equation.

GCF(1237,1238) = 1
LCM(1237,1238) = ( 1237 × 1238) / 1
LCM(1237,1238) = 1531406 / 1
LCM(1237,1238) = 1531406

Properties of LCM 1237 and 1238

(i) The LCM of 1238 and 1237 is associative

LCM of 1237 and 1238 = LCM of 1238 and 1237

Related Least Common Multiples of 1237

Related Least Common Multiples of 1238

Frequently Asked Questions on LCM of 1237 and 1238

1. What is the LCM of 1237 and 1238?

Answer: LCM of 1237 and 1238 is 1531406.

2. What are the Factors of 1237?

Answer: Factors of 1237 are 1, 1237. There are 2 integers that are factors of 1237. The greatest factor of 1237 is 1237.

3. 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.

4. How to Find the LCM of 1237 and 1238?

Answer:

Least Common Multiple of 1237 and 1238 = 1531406

Step 1: Find the prime factorization of 1237

1237 = 1237

Step 2: Find the prime factorization of 1238

1238 = 2 x 619

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

LCM = 1531406 = 2 x 619 x 1237

Step 4: Therefore, the least common multiple of 1237 and 1238 is 1531406.