Least Common Multiple of 6249 and 6254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6249 and 6254 the smallest integer that is 39081246 that is divisible by both numbers.

Least Common Multiple (LCM) of 6249 and 6254 is 39081246.

LCM(6249,6254) = 39081246

LCM of 6249 and 6254

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

LCM of:
and

Least Common Multiple of 6249 and 6254

LCM of 6249 and 6254 is 39081246

Least common multiple can be found by multiplying the highest exponent prime factors of 6249 and 6254. First we will calculate the prime factors of 6249 and 6254.

Prime Factorization of 6249


3 6249
2083 2083
1

Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:

6249 = 31×20831

Prime Factorization of 6254


2 6254
53 3127
59 59
1

Prime factors of 6254 are 2, 53,59. Prime factorization of 6254 in exponential form is:

6254 = 21×531×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6249 and 6254.

LCM(6249,6254) = 21×31×531×591×20831
LCM(6249,6254) = 39081246

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1, 3, 2083, 6249

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1, 2, 53, 59, 106, 118, 3127, 6254

Least Common Multiple of 6249 and 6254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6249 and 6254, than apply into the LCM equation.

GCF(6249,6254) = 1
LCM(6249,6254) = ( 6249 × 6254) / 1
LCM(6249,6254) = 39081246 / 1
LCM(6249,6254) = 39081246

Properties of LCM 6249 and 6254

(i) The LCM of 6254 and 6249 is associative

LCM of 6249 and 6254 = LCM of 6254 and 6249

Related Least Common Multiples of 6249

Related Least Common Multiples of 6254

Frequently Asked Questions on LCM of 6249 and 6254

1. What is the LCM of 6249 and 6254?

Answer: LCM of 6249 and 6254 is 39081246.

2. What are the Factors of 6249?

Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.

3. What are the Factors of 6254?

Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.

4. How to Find the LCM of 6249 and 6254?

Answer:

Least Common Multiple of 6249 and 6254 = 39081246

Step 1: Find the prime factorization of 6249

6249 = 3 x 2083

Step 2: Find the prime factorization of 6254

6254 = 2 x 53 x 59

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

LCM = 39081246 = 2 x 3 x 53 x 59 x 2083

Step 4: Therefore, the least common multiple of 6249 and 6254 is 39081246.