Least Common Multiple of 39248 and 39253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39248 and 39253 the smallest integer that is 1540601744 that is divisible by both numbers.

Least Common Multiple (LCM) of 39248 and 39253 is 1540601744.

LCM(39248,39253) = 1540601744

LCM of 39248 and 39253

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

LCM of:
and

Least Common Multiple of 39248 and 39253

LCM of 39248 and 39253 is 1540601744

Least common multiple can be found by multiplying the highest exponent prime factors of 39248 and 39253. First we will calculate the prime factors of 39248 and 39253.

Prime Factorization of 39248


2 39248
2 19624
2 9812
2 4906
11 2453
223 223
1

Prime factors of 39248 are 2, 11,223. Prime factorization of 39248 in exponential form is:

39248 = 24×111×2231

Prime Factorization of 39253


17 39253
2309 2309
1

Prime factors of 39253 are 17,2309. Prime factorization of 39253 in exponential form is:

39253 = 171×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 39248 and 39253.

LCM(39248,39253) = 24×111×171×2231×23091
LCM(39248,39253) = 1540601744

Factors of 39248

List of positive integer factors of 39248 that divides 39248 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624, 39248

Factors of 39253

List of positive integer factors of 39253 that divides 39253 without a remainder.

1, 17, 2309, 39253

Least Common Multiple of 39248 and 39253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39248 and 39253, than apply into the LCM equation.

GCF(39248,39253) = 1
LCM(39248,39253) = ( 39248 × 39253) / 1
LCM(39248,39253) = 1540601744 / 1
LCM(39248,39253) = 1540601744

Properties of LCM 39248 and 39253

(i) The LCM of 39253 and 39248 is associative

LCM of 39248 and 39253 = LCM of 39253 and 39248

Related Least Common Multiples of 39248

Related Least Common Multiples of 39253

Frequently Asked Questions on LCM of 39248 and 39253

1. What is the LCM of 39248 and 39253?

Answer: LCM of 39248 and 39253 is 1540601744.

2. What are the Factors of 39248?

Answer: Factors of 39248 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 223, 446, 892, 1784, 2453, 3568, 4906, 9812, 19624, 39248. There are 20 integers that are factors of 39248. The greatest factor of 39248 is 39248.

3. What are the Factors of 39253?

Answer: Factors of 39253 are 1, 17, 2309, 39253. There are 4 integers that are factors of 39253. The greatest factor of 39253 is 39253.

4. How to Find the LCM of 39248 and 39253?

Answer:

Least Common Multiple of 39248 and 39253 = 1540601744

Step 1: Find the prime factorization of 39248

39248 = 2 x 2 x 2 x 2 x 11 x 223

Step 2: Find the prime factorization of 39253

39253 = 17 x 2309

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

LCM = 1540601744 = 2 x 2 x 2 x 2 x 11 x 17 x 223 x 2309

Step 4: Therefore, the least common multiple of 39248 and 39253 is 1540601744.