Least Common Multiple of 39208 and 39213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39208 and 39213 the smallest integer that is 1537463304 that is divisible by both numbers.

Least Common Multiple (LCM) of 39208 and 39213 is 1537463304.

LCM(39208,39213) = 1537463304

LCM of 39208 and 39213

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

LCM of:
and

Least Common Multiple of 39208 and 39213

LCM of 39208 and 39213 is 1537463304

Least common multiple can be found by multiplying the highest exponent prime factors of 39208 and 39213. First we will calculate the prime factors of 39208 and 39213.

Prime Factorization of 39208


2 39208
2 19604
2 9802
13 4901
13 377
29 29
1

Prime factors of 39208 are 2, 13,29. Prime factorization of 39208 in exponential form is:

39208 = 23×132×291

Prime Factorization of 39213


3 39213
3 13071
4357 4357
1

Prime factors of 39213 are 3,4357. Prime factorization of 39213 in exponential form is:

39213 = 32×43571

Now multiplying the highest exponent prime factors to calculate the LCM of 39208 and 39213.

LCM(39208,39213) = 23×32×132×291×43571
LCM(39208,39213) = 1537463304

Factors of 39208

List of positive integer factors of 39208 that divides 39208 without a remainder.

1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 169, 232, 338, 377, 676, 754, 1352, 1508, 3016, 4901, 9802, 19604, 39208

Factors of 39213

List of positive integer factors of 39213 that divides 39213 without a remainder.

1, 3, 9, 4357, 13071, 39213

Least Common Multiple of 39208 and 39213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39208 and 39213, than apply into the LCM equation.

GCF(39208,39213) = 1
LCM(39208,39213) = ( 39208 × 39213) / 1
LCM(39208,39213) = 1537463304 / 1
LCM(39208,39213) = 1537463304

Properties of LCM 39208 and 39213

(i) The LCM of 39213 and 39208 is associative

LCM of 39208 and 39213 = LCM of 39213 and 39208

Related Least Common Multiples of 39208

Related Least Common Multiples of 39213

Frequently Asked Questions on LCM of 39208 and 39213

1. What is the LCM of 39208 and 39213?

Answer: LCM of 39208 and 39213 is 1537463304.

2. What are the Factors of 39208?

Answer: Factors of 39208 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 169, 232, 338, 377, 676, 754, 1352, 1508, 3016, 4901, 9802, 19604, 39208. There are 24 integers that are factors of 39208. The greatest factor of 39208 is 39208.

3. What are the Factors of 39213?

Answer: Factors of 39213 are 1, 3, 9, 4357, 13071, 39213. There are 6 integers that are factors of 39213. The greatest factor of 39213 is 39213.

4. How to Find the LCM of 39208 and 39213?

Answer:

Least Common Multiple of 39208 and 39213 = 1537463304

Step 1: Find the prime factorization of 39208

39208 = 2 x 2 x 2 x 13 x 13 x 29

Step 2: Find the prime factorization of 39213

39213 = 3 x 3 x 4357

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

LCM = 1537463304 = 2 x 2 x 2 x 3 x 3 x 13 x 13 x 29 x 4357

Step 4: Therefore, the least common multiple of 39208 and 39213 is 1537463304.