Least Common Multiple of 1237 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 1237 and 1244 the smallest integer that is 1538828 that is divisible by both numbers.

Least Common Multiple (LCM) of 1237 and 1244 is 1538828.

LCM(1237,1244) = 1538828

LCM of 1237 and 1244

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

LCM of:
and

Least Common Multiple of 1237 and 1244

LCM of 1237 and 1244 is 1538828

Least common multiple can be found by multiplying the highest exponent prime factors of 1237 and 1244. First we will calculate the prime factors of 1237 and 1244.

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 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 1237 and 1244.

LCM(1237,1244) = 22×3111×12371
LCM(1237,1244) = 1538828

Factors of 1237

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

1, 1237

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 1237 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 1237 and 1244, than apply into the LCM equation.

GCF(1237,1244) = 1
LCM(1237,1244) = ( 1237 × 1244) / 1
LCM(1237,1244) = 1538828 / 1
LCM(1237,1244) = 1538828

Properties of LCM 1237 and 1244

(i) The LCM of 1244 and 1237 is associative

LCM of 1237 and 1244 = LCM of 1244 and 1237

Related Least Common Multiples of 1237

Related Least Common Multiples of 1244

Frequently Asked Questions on LCM of 1237 and 1244

1. What is the LCM of 1237 and 1244?

Answer: LCM of 1237 and 1244 is 1538828.

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 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 1237 and 1244?

Answer:

Least Common Multiple of 1237 and 1244 = 1538828

Step 1: Find the prime factorization of 1237

1237 = 1237

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 = 1538828 = 2 x 2 x 311 x 1237

Step 4: Therefore, the least common multiple of 1237 and 1244 is 1538828.