Least Common Multiple of 25290 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 25290 and 25294 the smallest integer that is 319842630 that is divisible by both numbers.

Least Common Multiple (LCM) of 25290 and 25294 is 319842630.

LCM(25290,25294) = 319842630

LCM of 25290 and 25294

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

LCM of:
and

Least Common Multiple of 25290 and 25294

LCM of 25290 and 25294 is 319842630

Least common multiple can be found by multiplying the highest exponent prime factors of 25290 and 25294. First we will calculate the prime factors of 25290 and 25294.

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 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 25290 and 25294.

LCM(25290,25294) = 21×32×51×2811×126471
LCM(25290,25294) = 319842630

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 25294

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

1, 2, 12647, 25294

Least Common Multiple of 25290 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 25290 and 25294, than apply into the LCM equation.

GCF(25290,25294) = 2
LCM(25290,25294) = ( 25290 × 25294) / 2
LCM(25290,25294) = 639685260 / 2
LCM(25290,25294) = 319842630

Properties of LCM 25290 and 25294

(i) The LCM of 25294 and 25290 is associative

LCM of 25290 and 25294 = LCM of 25294 and 25290

Related Least Common Multiples of 25290

Related Least Common Multiples of 25294

Frequently Asked Questions on LCM of 25290 and 25294

1. What is the LCM of 25290 and 25294?

Answer: LCM of 25290 and 25294 is 319842630.

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 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 25290 and 25294?

Answer:

Least Common Multiple of 25290 and 25294 = 319842630

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 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 = 319842630 = 2 x 3 x 3 x 5 x 281 x 12647

Step 4: Therefore, the least common multiple of 25290 and 25294 is 319842630.