Least Common Multiple of 249 and 257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 249 and 257 the smallest integer that is 63993 that is divisible by both numbers.

Least Common Multiple (LCM) of 249 and 257 is 63993.

LCM(249,257) = 63993

LCM of 249 and 257

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

LCM of:
and

Least Common Multiple of 249 and 257

LCM of 249 and 257 is 63993

Least common multiple can be found by multiplying the highest exponent prime factors of 249 and 257. First we will calculate the prime factors of 249 and 257.

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

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 249 and 257.

LCM(249,257) = 31×831×2571
LCM(249,257) = 63993

Factors of 249

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

1, 3, 83, 249

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

Least Common Multiple of 249 and 257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 257, than apply into the LCM equation.

GCF(249,257) = 1
LCM(249,257) = ( 249 × 257) / 1
LCM(249,257) = 63993 / 1
LCM(249,257) = 63993

Properties of LCM 249 and 257

(i) The LCM of 257 and 249 is associative

LCM of 249 and 257 = LCM of 257 and 249

Related Least Common Multiples of 249

Related Least Common Multiples of 257

Frequently Asked Questions on LCM of 249 and 257

1. What is the LCM of 249 and 257?

Answer: LCM of 249 and 257 is 63993.

2. 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.

3. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

4. How to Find the LCM of 249 and 257?

Answer:

Least Common Multiple of 249 and 257 = 63993

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 257

257 = 257

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

LCM = 63993 = 3 x 83 x 257

Step 4: Therefore, the least common multiple of 249 and 257 is 63993.