Least Common Multiple of 39224 and 39229

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 39229 the smallest integer that is 1538718296 that is divisible by both numbers.

Least Common Multiple (LCM) of 39224 and 39229 is 1538718296.

LCM(39224,39229) = 1538718296

LCM of 39224 and 39229

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

LCM of:
and

Least Common Multiple of 39224 and 39229

LCM of 39224 and 39229 is 1538718296

Least common multiple can be found by multiplying the highest exponent prime factors of 39224 and 39229. First we will calculate the prime factors of 39224 and 39229.

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 39229


39229 39229
1

Prime factors of 39229 are 39229. Prime factorization of 39229 in exponential form is:

39229 = 392291

Now multiplying the highest exponent prime factors to calculate the LCM of 39224 and 39229.

LCM(39224,39229) = 23×49031×392291
LCM(39224,39229) = 1538718296

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 39229

List of positive integer factors of 39229 that divides 39229 without a remainder.

1, 39229

Least Common Multiple of 39224 and 39229 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 39229, than apply into the LCM equation.

GCF(39224,39229) = 1
LCM(39224,39229) = ( 39224 × 39229) / 1
LCM(39224,39229) = 1538718296 / 1
LCM(39224,39229) = 1538718296

Properties of LCM 39224 and 39229

(i) The LCM of 39229 and 39224 is associative

LCM of 39224 and 39229 = LCM of 39229 and 39224

Related Least Common Multiples of 39224

Related Least Common Multiples of 39229

Frequently Asked Questions on LCM of 39224 and 39229

1. What is the LCM of 39224 and 39229?

Answer: LCM of 39224 and 39229 is 1538718296.

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 39229?

Answer: Factors of 39229 are 1, 39229. There are 2 integers that are factors of 39229. The greatest factor of 39229 is 39229.

4. How to Find the LCM of 39224 and 39229?

Answer:

Least Common Multiple of 39224 and 39229 = 1538718296

Step 1: Find the prime factorization of 39224

39224 = 2 x 2 x 2 x 4903

Step 2: Find the prime factorization of 39229

39229 = 39229

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

LCM = 1538718296 = 2 x 2 x 2 x 4903 x 39229

Step 4: Therefore, the least common multiple of 39224 and 39229 is 1538718296.