Least Common Multiple of 25293 and 25301

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 25301 the smallest integer that is 639938193 that is divisible by both numbers.

Least Common Multiple (LCM) of 25293 and 25301 is 639938193.

LCM(25293,25301) = 639938193

LCM of 25293 and 25301

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

LCM of:
and

Least Common Multiple of 25293 and 25301

LCM of 25293 and 25301 is 639938193

Least common multiple can be found by multiplying the highest exponent prime factors of 25293 and 25301. First we will calculate the prime factors of 25293 and 25301.

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 25301


25301 25301
1

Prime factors of 25301 are 25301. Prime factorization of 25301 in exponential form is:

25301 = 253011

Now multiplying the highest exponent prime factors to calculate the LCM of 25293 and 25301.

LCM(25293,25301) = 31×84311×253011
LCM(25293,25301) = 639938193

Factors of 25293

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

1, 3, 8431, 25293

Factors of 25301

List of positive integer factors of 25301 that divides 25301 without a remainder.

1, 25301

Least Common Multiple of 25293 and 25301 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 25301, than apply into the LCM equation.

GCF(25293,25301) = 1
LCM(25293,25301) = ( 25293 × 25301) / 1
LCM(25293,25301) = 639938193 / 1
LCM(25293,25301) = 639938193

Properties of LCM 25293 and 25301

(i) The LCM of 25301 and 25293 is associative

LCM of 25293 and 25301 = LCM of 25301 and 25293

Related Least Common Multiples of 25293

Related Least Common Multiples of 25301

Frequently Asked Questions on LCM of 25293 and 25301

1. What is the LCM of 25293 and 25301?

Answer: LCM of 25293 and 25301 is 639938193.

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 25301?

Answer: Factors of 25301 are 1, 25301. There are 2 integers that are factors of 25301. The greatest factor of 25301 is 25301.

4. How to Find the LCM of 25293 and 25301?

Answer:

Least Common Multiple of 25293 and 25301 = 639938193

Step 1: Find the prime factorization of 25293

25293 = 3 x 8431

Step 2: Find the prime factorization of 25301

25301 = 25301

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

LCM = 639938193 = 3 x 8431 x 25301

Step 4: Therefore, the least common multiple of 25293 and 25301 is 639938193.