Least Common Multiple of 39201 and 39208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39201 and 39208 the smallest integer that is 1536992808 that is divisible by both numbers.

Least Common Multiple (LCM) of 39201 and 39208 is 1536992808.

LCM(39201,39208) = 1536992808

LCM of 39201 and 39208

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

LCM of:
and

Least Common Multiple of 39201 and 39208

LCM of 39201 and 39208 is 1536992808

Least common multiple can be found by multiplying the highest exponent prime factors of 39201 and 39208. First we will calculate the prime factors of 39201 and 39208.

Prime Factorization of 39201


3 39201
73 13067
179 179
1

Prime factors of 39201 are 3, 73,179. Prime factorization of 39201 in exponential form is:

39201 = 31×731×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 39201 and 39208.

LCM(39201,39208) = 23×31×132×291×731×1791
LCM(39201,39208) = 1536992808

Factors of 39201

List of positive integer factors of 39201 that divides 39201 without a remainder.

1, 3, 73, 179, 219, 537, 13067, 39201

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

Least Common Multiple of 39201 and 39208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39201 and 39208, than apply into the LCM equation.

GCF(39201,39208) = 1
LCM(39201,39208) = ( 39201 × 39208) / 1
LCM(39201,39208) = 1536992808 / 1
LCM(39201,39208) = 1536992808

Properties of LCM 39201 and 39208

(i) The LCM of 39208 and 39201 is associative

LCM of 39201 and 39208 = LCM of 39208 and 39201

Related Least Common Multiples of 39201

Related Least Common Multiples of 39208

Frequently Asked Questions on LCM of 39201 and 39208

1. What is the LCM of 39201 and 39208?

Answer: LCM of 39201 and 39208 is 1536992808.

2. What are the Factors of 39201?

Answer: Factors of 39201 are 1, 3, 73, 179, 219, 537, 13067, 39201. There are 8 integers that are factors of 39201. The greatest factor of 39201 is 39201.

3. 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.

4. How to Find the LCM of 39201 and 39208?

Answer:

Least Common Multiple of 39201 and 39208 = 1536992808

Step 1: Find the prime factorization of 39201

39201 = 3 x 73 x 179

Step 2: Find the prime factorization of 39208

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

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

LCM = 1536992808 = 2 x 2 x 2 x 3 x 13 x 13 x 29 x 73 x 179

Step 4: Therefore, the least common multiple of 39201 and 39208 is 1536992808.