Least Common Multiple of 39230 and 39238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39230 and 39238 the smallest integer that is 769653370 that is divisible by both numbers.

Least Common Multiple (LCM) of 39230 and 39238 is 769653370.

LCM(39230,39238) = 769653370

LCM of 39230 and 39238

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

LCM of:
and

Least Common Multiple of 39230 and 39238

LCM of 39230 and 39238 is 769653370

Least common multiple can be found by multiplying the highest exponent prime factors of 39230 and 39238. First we will calculate the prime factors of 39230 and 39238.

Prime Factorization of 39230


2 39230
5 19615
3923 3923
1

Prime factors of 39230 are 2, 5,3923. Prime factorization of 39230 in exponential form is:

39230 = 21×51×39231

Prime Factorization of 39238


2 39238
23 19619
853 853
1

Prime factors of 39238 are 2, 23,853. Prime factorization of 39238 in exponential form is:

39238 = 21×231×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 39230 and 39238.

LCM(39230,39238) = 21×51×231×8531×39231
LCM(39230,39238) = 769653370

Factors of 39230

List of positive integer factors of 39230 that divides 39230 without a remainder.

1, 2, 5, 10, 3923, 7846, 19615, 39230

Factors of 39238

List of positive integer factors of 39238 that divides 39238 without a remainder.

1, 2, 23, 46, 853, 1706, 19619, 39238

Least Common Multiple of 39230 and 39238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39230 and 39238, than apply into the LCM equation.

GCF(39230,39238) = 2
LCM(39230,39238) = ( 39230 × 39238) / 2
LCM(39230,39238) = 1539306740 / 2
LCM(39230,39238) = 769653370

Properties of LCM 39230 and 39238

(i) The LCM of 39238 and 39230 is associative

LCM of 39230 and 39238 = LCM of 39238 and 39230

Related Least Common Multiples of 39230

Related Least Common Multiples of 39238

Frequently Asked Questions on LCM of 39230 and 39238

1. What is the LCM of 39230 and 39238?

Answer: LCM of 39230 and 39238 is 769653370.

2. What are the Factors of 39230?

Answer: Factors of 39230 are 1, 2, 5, 10, 3923, 7846, 19615, 39230. There are 8 integers that are factors of 39230. The greatest factor of 39230 is 39230.

3. What are the Factors of 39238?

Answer: Factors of 39238 are 1, 2, 23, 46, 853, 1706, 19619, 39238. There are 8 integers that are factors of 39238. The greatest factor of 39238 is 39238.

4. How to Find the LCM of 39230 and 39238?

Answer:

Least Common Multiple of 39230 and 39238 = 769653370

Step 1: Find the prime factorization of 39230

39230 = 2 x 5 x 3923

Step 2: Find the prime factorization of 39238

39238 = 2 x 23 x 853

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

LCM = 769653370 = 2 x 5 x 23 x 853 x 3923

Step 4: Therefore, the least common multiple of 39230 and 39238 is 769653370.