Least Common Multiple of 6249 and 6257

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 6257 the smallest integer that is 39099993 that is divisible by both numbers.

Least Common Multiple (LCM) of 6249 and 6257 is 39099993.

LCM(6249,6257) = 39099993

LCM of 6249 and 6257

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

LCM of:
and

Least Common Multiple of 6249 and 6257

LCM of 6249 and 6257 is 39099993

Least common multiple can be found by multiplying the highest exponent prime factors of 6249 and 6257. First we will calculate the prime factors of 6249 and 6257.

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 6257


6257 6257
1

Prime factors of 6257 are 6257. Prime factorization of 6257 in exponential form is:

6257 = 62571

Now multiplying the highest exponent prime factors to calculate the LCM of 6249 and 6257.

LCM(6249,6257) = 31×20831×62571
LCM(6249,6257) = 39099993

Factors of 6249

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

1, 3, 2083, 6249

Factors of 6257

List of positive integer factors of 6257 that divides 6257 without a remainder.

1, 6257

Least Common Multiple of 6249 and 6257 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 6257, than apply into the LCM equation.

GCF(6249,6257) = 1
LCM(6249,6257) = ( 6249 × 6257) / 1
LCM(6249,6257) = 39099993 / 1
LCM(6249,6257) = 39099993

Properties of LCM 6249 and 6257

(i) The LCM of 6257 and 6249 is associative

LCM of 6249 and 6257 = LCM of 6257 and 6249

Related Least Common Multiples of 6249

Related Least Common Multiples of 6257

Frequently Asked Questions on LCM of 6249 and 6257

1. What is the LCM of 6249 and 6257?

Answer: LCM of 6249 and 6257 is 39099993.

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 6257?

Answer: Factors of 6257 are 1, 6257. There are 2 integers that are factors of 6257. The greatest factor of 6257 is 6257.

4. How to Find the LCM of 6249 and 6257?

Answer:

Least Common Multiple of 6249 and 6257 = 39099993

Step 1: Find the prime factorization of 6249

6249 = 3 x 2083

Step 2: Find the prime factorization of 6257

6257 = 6257

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

LCM = 39099993 = 3 x 2083 x 6257

Step 4: Therefore, the least common multiple of 6249 and 6257 is 39099993.