Least Common Multiple of 244 and 249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 244 and 249 the smallest integer that is 60756 that is divisible by both numbers.

Least Common Multiple (LCM) of 244 and 249 is 60756.

LCM(244,249) = 60756

LCM of 244 and 249

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

LCM of:
and

Least Common Multiple of 244 and 249

LCM of 244 and 249 is 60756

Least common multiple can be found by multiplying the highest exponent prime factors of 244 and 249. First we will calculate the prime factors of 244 and 249.

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 244 and 249.

LCM(244,249) = 22×31×611×831
LCM(244,249) = 60756

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Least Common Multiple of 244 and 249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 244 and 249, than apply into the LCM equation.

GCF(244,249) = 1
LCM(244,249) = ( 244 × 249) / 1
LCM(244,249) = 60756 / 1
LCM(244,249) = 60756

Properties of LCM 244 and 249

(i) The LCM of 249 and 244 is associative

LCM of 244 and 249 = LCM of 249 and 244

Related Least Common Multiples of 244

Related Least Common Multiples of 249

Frequently Asked Questions on LCM of 244 and 249

1. What is the LCM of 244 and 249?

Answer: LCM of 244 and 249 is 60756.

2. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

3. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. How to Find the LCM of 244 and 249?

Answer:

Least Common Multiple of 244 and 249 = 60756

Step 1: Find the prime factorization of 244

244 = 2 x 2 x 61

Step 2: Find the prime factorization of 249

249 = 3 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 = 60756 = 2 x 2 x 3 x 61 x 83

Step 4: Therefore, the least common multiple of 244 and 249 is 60756.