Least Common Multiple of 25282 and 25288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25282 and 25288 the smallest integer that is 319665608 that is divisible by both numbers.

Least Common Multiple (LCM) of 25282 and 25288 is 319665608.

LCM(25282,25288) = 319665608

LCM of 25282 and 25288

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

LCM of:
and

Least Common Multiple of 25282 and 25288

LCM of 25282 and 25288 is 319665608

Least common multiple can be found by multiplying the highest exponent prime factors of 25282 and 25288. First we will calculate the prime factors of 25282 and 25288.

Prime Factorization of 25282


2 25282
12641 12641
1

Prime factors of 25282 are 2,12641. Prime factorization of 25282 in exponential form is:

25282 = 21×126411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 25282 and 25288.

LCM(25282,25288) = 23×291×1091×126411
LCM(25282,25288) = 319665608

Factors of 25282

List of positive integer factors of 25282 that divides 25282 without a remainder.

1, 2, 12641, 25282

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

Least Common Multiple of 25282 and 25288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25282 and 25288, than apply into the LCM equation.

GCF(25282,25288) = 2
LCM(25282,25288) = ( 25282 × 25288) / 2
LCM(25282,25288) = 639331216 / 2
LCM(25282,25288) = 319665608

Properties of LCM 25282 and 25288

(i) The LCM of 25288 and 25282 is associative

LCM of 25282 and 25288 = LCM of 25288 and 25282

Related Least Common Multiples of 25282

Related Least Common Multiples of 25288

Frequently Asked Questions on LCM of 25282 and 25288

1. What is the LCM of 25282 and 25288?

Answer: LCM of 25282 and 25288 is 319665608.

2. What are the Factors of 25282?

Answer: Factors of 25282 are 1, 2, 12641, 25282. There are 4 integers that are factors of 25282. The greatest factor of 25282 is 25282.

3. 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.

4. How to Find the LCM of 25282 and 25288?

Answer:

Least Common Multiple of 25282 and 25288 = 319665608

Step 1: Find the prime factorization of 25282

25282 = 2 x 12641

Step 2: Find the prime factorization of 25288

25288 = 2 x 2 x 2 x 29 x 109

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

LCM = 319665608 = 2 x 2 x 2 x 29 x 109 x 12641

Step 4: Therefore, the least common multiple of 25282 and 25288 is 319665608.