Least Common Multiple of 249 and 251

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 251 the smallest integer that is 62499 that is divisible by both numbers.

Least Common Multiple (LCM) of 249 and 251 is 62499.

LCM(249,251) = 62499

LCM of 249 and 251

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

LCM of:
and

Least Common Multiple of 249 and 251

LCM of 249 and 251 is 62499

Least common multiple can be found by multiplying the highest exponent prime factors of 249 and 251. First we will calculate the prime factors of 249 and 251.

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 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 249 and 251.

LCM(249,251) = 31×831×2511
LCM(249,251) = 62499

Factors of 249

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

1, 3, 83, 249

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

Least Common Multiple of 249 and 251 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 251, than apply into the LCM equation.

GCF(249,251) = 1
LCM(249,251) = ( 249 × 251) / 1
LCM(249,251) = 62499 / 1
LCM(249,251) = 62499

Properties of LCM 249 and 251

(i) The LCM of 251 and 249 is associative

LCM of 249 and 251 = LCM of 251 and 249

Related Least Common Multiples of 249

Related Least Common Multiples of 251

Frequently Asked Questions on LCM of 249 and 251

1. What is the LCM of 249 and 251?

Answer: LCM of 249 and 251 is 62499.

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 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

4. How to Find the LCM of 249 and 251?

Answer:

Least Common Multiple of 249 and 251 = 62499

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 251

251 = 251

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

LCM = 62499 = 3 x 83 x 251

Step 4: Therefore, the least common multiple of 249 and 251 is 62499.