Least Common Multiple of 39224 and 39231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39224 and 39231 the smallest integer that is 1538796744 that is divisible by both numbers.

Least Common Multiple (LCM) of 39224 and 39231 is 1538796744.

LCM(39224,39231) = 1538796744

LCM of 39224 and 39231

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

LCM of:
and

Least Common Multiple of 39224 and 39231

LCM of 39224 and 39231 is 1538796744

Least common multiple can be found by multiplying the highest exponent prime factors of 39224 and 39231. First we will calculate the prime factors of 39224 and 39231.

Prime Factorization of 39224


2 39224
2 19612
2 9806
4903 4903
1

Prime factors of 39224 are 2,4903. Prime factorization of 39224 in exponential form is:

39224 = 23×49031

Prime Factorization of 39231


3 39231
3 13077
3 4359
1453 1453
1

Prime factors of 39231 are 3,1453. Prime factorization of 39231 in exponential form is:

39231 = 33×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 39224 and 39231.

LCM(39224,39231) = 23×33×14531×49031
LCM(39224,39231) = 1538796744

Factors of 39224

List of positive integer factors of 39224 that divides 39224 without a remainder.

1, 2, 4, 8, 4903, 9806, 19612, 39224

Factors of 39231

List of positive integer factors of 39231 that divides 39231 without a remainder.

1, 3, 9, 27, 1453, 4359, 13077, 39231

Least Common Multiple of 39224 and 39231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39224 and 39231, than apply into the LCM equation.

GCF(39224,39231) = 1
LCM(39224,39231) = ( 39224 × 39231) / 1
LCM(39224,39231) = 1538796744 / 1
LCM(39224,39231) = 1538796744

Properties of LCM 39224 and 39231

(i) The LCM of 39231 and 39224 is associative

LCM of 39224 and 39231 = LCM of 39231 and 39224

Related Least Common Multiples of 39224

Related Least Common Multiples of 39231

Frequently Asked Questions on LCM of 39224 and 39231

1. What is the LCM of 39224 and 39231?

Answer: LCM of 39224 and 39231 is 1538796744.

2. What are the Factors of 39224?

Answer: Factors of 39224 are 1, 2, 4, 8, 4903, 9806, 19612, 39224. There are 8 integers that are factors of 39224. The greatest factor of 39224 is 39224.

3. What are the Factors of 39231?

Answer: Factors of 39231 are 1, 3, 9, 27, 1453, 4359, 13077, 39231. There are 8 integers that are factors of 39231. The greatest factor of 39231 is 39231.

4. How to Find the LCM of 39224 and 39231?

Answer:

Least Common Multiple of 39224 and 39231 = 1538796744

Step 1: Find the prime factorization of 39224

39224 = 2 x 2 x 2 x 4903

Step 2: Find the prime factorization of 39231

39231 = 3 x 3 x 3 x 1453

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

LCM = 1538796744 = 2 x 2 x 2 x 3 x 3 x 3 x 1453 x 4903

Step 4: Therefore, the least common multiple of 39224 and 39231 is 1538796744.