Least Common Multiple of 25290 and 25295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25290 and 25295 the smallest integer that is 127942110 that is divisible by both numbers.

Least Common Multiple (LCM) of 25290 and 25295 is 127942110.

LCM(25290,25295) = 127942110

LCM of 25290 and 25295

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

LCM of:
and

Least Common Multiple of 25290 and 25295

LCM of 25290 and 25295 is 127942110

Least common multiple can be found by multiplying the highest exponent prime factors of 25290 and 25295. First we will calculate the prime factors of 25290 and 25295.

Prime Factorization of 25290


2 25290
3 12645
3 4215
5 1405
281 281
1

Prime factors of 25290 are 2, 3, 5,281. Prime factorization of 25290 in exponential form is:

25290 = 21×32×51×2811

Prime Factorization of 25295


5 25295
5059 5059
1

Prime factors of 25295 are 5,5059. Prime factorization of 25295 in exponential form is:

25295 = 51×50591

Now multiplying the highest exponent prime factors to calculate the LCM of 25290 and 25295.

LCM(25290,25295) = 21×32×51×2811×50591
LCM(25290,25295) = 127942110

Factors of 25290

List of positive integer factors of 25290 that divides 25290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 8430, 12645, 25290

Factors of 25295

List of positive integer factors of 25295 that divides 25295 without a remainder.

1, 5, 5059, 25295

Least Common Multiple of 25290 and 25295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25290 and 25295, than apply into the LCM equation.

GCF(25290,25295) = 5
LCM(25290,25295) = ( 25290 × 25295) / 5
LCM(25290,25295) = 639710550 / 5
LCM(25290,25295) = 127942110

Properties of LCM 25290 and 25295

(i) The LCM of 25295 and 25290 is associative

LCM of 25290 and 25295 = LCM of 25295 and 25290

Related Least Common Multiples of 25290

Related Least Common Multiples of 25295

Frequently Asked Questions on LCM of 25290 and 25295

1. What is the LCM of 25290 and 25295?

Answer: LCM of 25290 and 25295 is 127942110.

2. What are the Factors of 25290?

Answer: Factors of 25290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 8430, 12645, 25290. There are 24 integers that are factors of 25290. The greatest factor of 25290 is 25290.

3. What are the Factors of 25295?

Answer: Factors of 25295 are 1, 5, 5059, 25295. There are 4 integers that are factors of 25295. The greatest factor of 25295 is 25295.

4. How to Find the LCM of 25290 and 25295?

Answer:

Least Common Multiple of 25290 and 25295 = 127942110

Step 1: Find the prime factorization of 25290

25290 = 2 x 3 x 3 x 5 x 281

Step 2: Find the prime factorization of 25295

25295 = 5 x 5059

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

LCM = 127942110 = 2 x 3 x 3 x 5 x 281 x 5059

Step 4: Therefore, the least common multiple of 25290 and 25295 is 127942110.