Least Common Multiple of 25286 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 25286 and 25294 the smallest integer that is 319792042 that is divisible by both numbers.

Least Common Multiple (LCM) of 25286 and 25294 is 319792042.

LCM(25286,25294) = 319792042

LCM of 25286 and 25294

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

LCM of:
and

Least Common Multiple of 25286 and 25294

LCM of 25286 and 25294 is 319792042

Least common multiple can be found by multiplying the highest exponent prime factors of 25286 and 25294. First we will calculate the prime factors of 25286 and 25294.

Prime Factorization of 25286


2 25286
47 12643
269 269
1

Prime factors of 25286 are 2, 47,269. Prime factorization of 25286 in exponential form is:

25286 = 21×471×2691

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 25286 and 25294.

LCM(25286,25294) = 21×471×2691×126471
LCM(25286,25294) = 319792042

Factors of 25286

List of positive integer factors of 25286 that divides 25286 without a remainder.

1, 2, 47, 94, 269, 538, 12643, 25286

Factors of 25294

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

1, 2, 12647, 25294

Least Common Multiple of 25286 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 25286 and 25294, than apply into the LCM equation.

GCF(25286,25294) = 2
LCM(25286,25294) = ( 25286 × 25294) / 2
LCM(25286,25294) = 639584084 / 2
LCM(25286,25294) = 319792042

Properties of LCM 25286 and 25294

(i) The LCM of 25294 and 25286 is associative

LCM of 25286 and 25294 = LCM of 25294 and 25286

Related Least Common Multiples of 25286

Related Least Common Multiples of 25294

Frequently Asked Questions on LCM of 25286 and 25294

1. What is the LCM of 25286 and 25294?

Answer: LCM of 25286 and 25294 is 319792042.

2. What are the Factors of 25286?

Answer: Factors of 25286 are 1, 2, 47, 94, 269, 538, 12643, 25286. There are 8 integers that are factors of 25286. The greatest factor of 25286 is 25286.

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 25286 and 25294?

Answer:

Least Common Multiple of 25286 and 25294 = 319792042

Step 1: Find the prime factorization of 25286

25286 = 2 x 47 x 269

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 = 319792042 = 2 x 47 x 269 x 12647

Step 4: Therefore, the least common multiple of 25286 and 25294 is 319792042.