Least Common Multiple of 249 and 252

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 252 the smallest integer that is 20916 that is divisible by both numbers.

Least Common Multiple (LCM) of 249 and 252 is 20916.

LCM(249,252) = 20916

LCM of 249 and 252

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

LCM of:
and

Least Common Multiple of 249 and 252

LCM of 249 and 252 is 20916

Least common multiple can be found by multiplying the highest exponent prime factors of 249 and 252. First we will calculate the prime factors of 249 and 252.

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 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2, 3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 249 and 252.

LCM(249,252) = 22×32×71×831
LCM(249,252) = 20916

Factors of 249

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

1, 3, 83, 249

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Least Common Multiple of 249 and 252 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 252, than apply into the LCM equation.

GCF(249,252) = 3
LCM(249,252) = ( 249 × 252) / 3
LCM(249,252) = 62748 / 3
LCM(249,252) = 20916

Properties of LCM 249 and 252

(i) The LCM of 252 and 249 is associative

LCM of 249 and 252 = LCM of 252 and 249

Related Least Common Multiples of 249

Related Least Common Multiples of 252

Frequently Asked Questions on LCM of 249 and 252

1. What is the LCM of 249 and 252?

Answer: LCM of 249 and 252 is 20916.

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 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

4. How to Find the LCM of 249 and 252?

Answer:

Least Common Multiple of 249 and 252 = 20916

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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

LCM = 20916 = 2 x 2 x 3 x 3 x 7 x 83

Step 4: Therefore, the least common multiple of 249 and 252 is 20916.