Least Common Multiple of 25288 and 25294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25288 and 25294 the smallest integer that is 319817336 that is divisible by both numbers.

Least Common Multiple (LCM) of 25288 and 25294 is 319817336.

LCM(25288,25294) = 319817336

LCM of 25288 and 25294

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

LCM of:
and

Least Common Multiple of 25288 and 25294

LCM of 25288 and 25294 is 319817336

Least common multiple can be found by multiplying the highest exponent prime factors of 25288 and 25294. First we will calculate the prime factors of 25288 and 25294.

Prime Factorization of 25288


2 25288
2 12644
2 6322
29 3161
109 109
1

Prime factors of 25288 are 2, 29,109. Prime factorization of 25288 in exponential form is:

25288 = 23×291×1091

Prime Factorization of 25294


2 25294
12647 12647
1

Prime factors of 25294 are 2,12647. Prime factorization of 25294 in exponential form is:

25294 = 21×126471

Now multiplying the highest exponent prime factors to calculate the LCM of 25288 and 25294.

LCM(25288,25294) = 23×291×1091×126471
LCM(25288,25294) = 319817336

Factors of 25288

List of positive integer factors of 25288 that divides 25288 without a remainder.

1, 2, 4, 8, 29, 58, 109, 116, 218, 232, 436, 872, 3161, 6322, 12644, 25288

Factors of 25294

List of positive integer factors of 25294 that divides 25294 without a remainder.

1, 2, 12647, 25294

Least Common Multiple of 25288 and 25294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25288 and 25294, than apply into the LCM equation.

GCF(25288,25294) = 2
LCM(25288,25294) = ( 25288 × 25294) / 2
LCM(25288,25294) = 639634672 / 2
LCM(25288,25294) = 319817336

Properties of LCM 25288 and 25294

(i) The LCM of 25294 and 25288 is associative

LCM of 25288 and 25294 = LCM of 25294 and 25288

Related Least Common Multiples of 25288

Related Least Common Multiples of 25294

Frequently Asked Questions on LCM of 25288 and 25294

1. What is the LCM of 25288 and 25294?

Answer: LCM of 25288 and 25294 is 319817336.

2. What are the Factors of 25288?

Answer: Factors of 25288 are 1, 2, 4, 8, 29, 58, 109, 116, 218, 232, 436, 872, 3161, 6322, 12644, 25288. There are 16 integers that are factors of 25288. The greatest factor of 25288 is 25288.

3. What are the Factors of 25294?

Answer: Factors of 25294 are 1, 2, 12647, 25294. There are 4 integers that are factors of 25294. The greatest factor of 25294 is 25294.

4. How to Find the LCM of 25288 and 25294?

Answer:

Least Common Multiple of 25288 and 25294 = 319817336

Step 1: Find the prime factorization of 25288

25288 = 2 x 2 x 2 x 29 x 109

Step 2: Find the prime factorization of 25294

25294 = 2 x 12647

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

LCM = 319817336 = 2 x 2 x 2 x 29 x 109 x 12647

Step 4: Therefore, the least common multiple of 25288 and 25294 is 319817336.