Least Common Multiple of 1244 and 1249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1244 and 1249 the smallest integer that is 1553756 that is divisible by both numbers.

Least Common Multiple (LCM) of 1244 and 1249 is 1553756.

LCM(1244,1249) = 1553756

LCM of 1244 and 1249

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

LCM of:
and

Least Common Multiple of 1244 and 1249

LCM of 1244 and 1249 is 1553756

Least common multiple can be found by multiplying the highest exponent prime factors of 1244 and 1249. First we will calculate the prime factors of 1244 and 1249.

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

Prime Factorization of 1249


1249 1249
1

Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:

1249 = 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 1244 and 1249.

LCM(1244,1249) = 22×3111×12491
LCM(1244,1249) = 1553756

Factors of 1244

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

1, 2, 4, 311, 622, 1244

Factors of 1249

List of positive integer factors of 1249 that divides 1249 without a remainder.

1, 1249

Least Common Multiple of 1244 and 1249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1244 and 1249, than apply into the LCM equation.

GCF(1244,1249) = 1
LCM(1244,1249) = ( 1244 × 1249) / 1
LCM(1244,1249) = 1553756 / 1
LCM(1244,1249) = 1553756

Properties of LCM 1244 and 1249

(i) The LCM of 1249 and 1244 is associative

LCM of 1244 and 1249 = LCM of 1249 and 1244

Related Least Common Multiples of 1244

Related Least Common Multiples of 1249

Frequently Asked Questions on LCM of 1244 and 1249

1. What is the LCM of 1244 and 1249?

Answer: LCM of 1244 and 1249 is 1553756.

2. 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.

3. What are the Factors of 1249?

Answer: Factors of 1249 are 1, 1249. There are 2 integers that are factors of 1249. The greatest factor of 1249 is 1249.

4. How to Find the LCM of 1244 and 1249?

Answer:

Least Common Multiple of 1244 and 1249 = 1553756

Step 1: Find the prime factorization of 1244

1244 = 2 x 2 x 311

Step 2: Find the prime factorization of 1249

1249 = 1249

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

LCM = 1553756 = 2 x 2 x 311 x 1249

Step 4: Therefore, the least common multiple of 1244 and 1249 is 1553756.