Least Common Multiple of 4244 and 4249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4244 and 4249 the smallest integer that is 18032756 that is divisible by both numbers.

Least Common Multiple (LCM) of 4244 and 4249 is 18032756.

LCM(4244,4249) = 18032756

LCM of 4244 and 4249

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

LCM of:
and

Least Common Multiple of 4244 and 4249

LCM of 4244 and 4249 is 18032756

Least common multiple can be found by multiplying the highest exponent prime factors of 4244 and 4249. First we will calculate the prime factors of 4244 and 4249.

Prime Factorization of 4244


2 4244
2 2122
1061 1061
1

Prime factors of 4244 are 2,1061. Prime factorization of 4244 in exponential form is:

4244 = 22×10611

Prime Factorization of 4249


7 4249
607 607
1

Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:

4249 = 71×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 4244 and 4249.

LCM(4244,4249) = 22×71×6071×10611
LCM(4244,4249) = 18032756

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1, 2, 4, 1061, 2122, 4244

Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1, 7, 607, 4249

Least Common Multiple of 4244 and 4249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4244 and 4249, than apply into the LCM equation.

GCF(4244,4249) = 1
LCM(4244,4249) = ( 4244 × 4249) / 1
LCM(4244,4249) = 18032756 / 1
LCM(4244,4249) = 18032756

Properties of LCM 4244 and 4249

(i) The LCM of 4249 and 4244 is associative

LCM of 4244 and 4249 = LCM of 4249 and 4244

Related Least Common Multiples of 4244

Related Least Common Multiples of 4249

Frequently Asked Questions on LCM of 4244 and 4249

1. What is the LCM of 4244 and 4249?

Answer: LCM of 4244 and 4249 is 18032756.

2. What are the Factors of 4244?

Answer: Factors of 4244 are 1, 2, 4, 1061, 2122, 4244. There are 6 integers that are factors of 4244. The greatest factor of 4244 is 4244.

3. What are the Factors of 4249?

Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.

4. How to Find the LCM of 4244 and 4249?

Answer:

Least Common Multiple of 4244 and 4249 = 18032756

Step 1: Find the prime factorization of 4244

4244 = 2 x 2 x 1061

Step 2: Find the prime factorization of 4249

4249 = 7 x 607

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

LCM = 18032756 = 2 x 2 x 7 x 607 x 1061

Step 4: Therefore, the least common multiple of 4244 and 4249 is 18032756.