Least Common Multiple of 4249 and 4254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4249 and 4254 the smallest integer that is 18075246 that is divisible by both numbers.

Least Common Multiple (LCM) of 4249 and 4254 is 18075246.

LCM(4249,4254) = 18075246

LCM of 4249 and 4254

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

LCM of:
and

Least Common Multiple of 4249 and 4254

LCM of 4249 and 4254 is 18075246

Least common multiple can be found by multiplying the highest exponent prime factors of 4249 and 4254. First we will calculate the prime factors of 4249 and 4254.

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

Prime Factorization of 4254


2 4254
3 2127
709 709
1

Prime factors of 4254 are 2, 3,709. Prime factorization of 4254 in exponential form is:

4254 = 21×31×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 4249 and 4254.

LCM(4249,4254) = 21×31×71×6071×7091
LCM(4249,4254) = 18075246

Factors of 4249

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

1, 7, 607, 4249

Factors of 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1, 2, 3, 6, 709, 1418, 2127, 4254

Least Common Multiple of 4249 and 4254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4249 and 4254, than apply into the LCM equation.

GCF(4249,4254) = 1
LCM(4249,4254) = ( 4249 × 4254) / 1
LCM(4249,4254) = 18075246 / 1
LCM(4249,4254) = 18075246

Properties of LCM 4249 and 4254

(i) The LCM of 4254 and 4249 is associative

LCM of 4249 and 4254 = LCM of 4254 and 4249

Related Least Common Multiples of 4249

Related Least Common Multiples of 4254

Frequently Asked Questions on LCM of 4249 and 4254

1. What is the LCM of 4249 and 4254?

Answer: LCM of 4249 and 4254 is 18075246.

2. 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.

3. What are the Factors of 4254?

Answer: Factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254. There are 8 integers that are factors of 4254. The greatest factor of 4254 is 4254.

4. How to Find the LCM of 4249 and 4254?

Answer:

Least Common Multiple of 4249 and 4254 = 18075246

Step 1: Find the prime factorization of 4249

4249 = 7 x 607

Step 2: Find the prime factorization of 4254

4254 = 2 x 3 x 709

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

LCM = 18075246 = 2 x 3 x 7 x 607 x 709

Step 4: Therefore, the least common multiple of 4249 and 4254 is 18075246.