Least Common Multiple of 25293 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 25293 and 25298 the smallest integer that is 639862314 that is divisible by both numbers.

Least Common Multiple (LCM) of 25293 and 25298 is 639862314.

LCM(25293,25298) = 639862314

LCM of 25293 and 25298

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

LCM of:
and

Least Common Multiple of 25293 and 25298

LCM of 25293 and 25298 is 639862314

Least common multiple can be found by multiplying the highest exponent prime factors of 25293 and 25298. First we will calculate the prime factors of 25293 and 25298.

Prime Factorization of 25293


3 25293
8431 8431
1

Prime factors of 25293 are 3,8431. Prime factorization of 25293 in exponential form is:

25293 = 31×84311

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 25293 and 25298.

LCM(25293,25298) = 21×31×71×131×1391×84311
LCM(25293,25298) = 639862314

Factors of 25293

List of positive integer factors of 25293 that divides 25293 without a remainder.

1, 3, 8431, 25293

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 25293 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 25293 and 25298, than apply into the LCM equation.

GCF(25293,25298) = 1
LCM(25293,25298) = ( 25293 × 25298) / 1
LCM(25293,25298) = 639862314 / 1
LCM(25293,25298) = 639862314

Properties of LCM 25293 and 25298

(i) The LCM of 25298 and 25293 is associative

LCM of 25293 and 25298 = LCM of 25298 and 25293

Related Least Common Multiples of 25293

Related Least Common Multiples of 25298

Frequently Asked Questions on LCM of 25293 and 25298

1. What is the LCM of 25293 and 25298?

Answer: LCM of 25293 and 25298 is 639862314.

2. What are the Factors of 25293?

Answer: Factors of 25293 are 1, 3, 8431, 25293. There are 4 integers that are factors of 25293. The greatest factor of 25293 is 25293.

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 25293 and 25298?

Answer:

Least Common Multiple of 25293 and 25298 = 639862314

Step 1: Find the prime factorization of 25293

25293 = 3 x 8431

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 = 639862314 = 2 x 3 x 7 x 13 x 139 x 8431

Step 4: Therefore, the least common multiple of 25293 and 25298 is 639862314.