Least Common Multiple of 25294 and 25298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25294 and 25298 the smallest integer that is 319943806 that is divisible by both numbers.

Least Common Multiple (LCM) of 25294 and 25298 is 319943806.

LCM(25294,25298) = 319943806

LCM of 25294 and 25298

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

LCM of:
and

Least Common Multiple of 25294 and 25298

LCM of 25294 and 25298 is 319943806

Least common multiple can be found by multiplying the highest exponent prime factors of 25294 and 25298. First we will calculate the prime factors of 25294 and 25298.

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

Prime Factorization of 25298


2 25298
7 12649
13 1807
139 139
1

Prime factors of 25298 are 2, 7, 13,139. Prime factorization of 25298 in exponential form is:

25298 = 21×71×131×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 25294 and 25298.

LCM(25294,25298) = 21×71×131×1391×126471
LCM(25294,25298) = 319943806

Factors of 25294

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

1, 2, 12647, 25294

Factors of 25298

List of positive integer factors of 25298 that divides 25298 without a remainder.

1, 2, 7, 13, 14, 26, 91, 139, 182, 278, 973, 1807, 1946, 3614, 12649, 25298

Least Common Multiple of 25294 and 25298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25294 and 25298, than apply into the LCM equation.

GCF(25294,25298) = 2
LCM(25294,25298) = ( 25294 × 25298) / 2
LCM(25294,25298) = 639887612 / 2
LCM(25294,25298) = 319943806

Properties of LCM 25294 and 25298

(i) The LCM of 25298 and 25294 is associative

LCM of 25294 and 25298 = LCM of 25298 and 25294

Related Least Common Multiples of 25294

Related Least Common Multiples of 25298

Frequently Asked Questions on LCM of 25294 and 25298

1. What is the LCM of 25294 and 25298?

Answer: LCM of 25294 and 25298 is 319943806.

2. 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.

3. What are the Factors of 25298?

Answer: Factors of 25298 are 1, 2, 7, 13, 14, 26, 91, 139, 182, 278, 973, 1807, 1946, 3614, 12649, 25298. There are 16 integers that are factors of 25298. The greatest factor of 25298 is 25298.

4. How to Find the LCM of 25294 and 25298?

Answer:

Least Common Multiple of 25294 and 25298 = 319943806

Step 1: Find the prime factorization of 25294

25294 = 2 x 12647

Step 2: Find the prime factorization of 25298

25298 = 2 x 7 x 13 x 139

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

LCM = 319943806 = 2 x 7 x 13 x 139 x 12647

Step 4: Therefore, the least common multiple of 25294 and 25298 is 319943806.