Least Common Multiple of 25275 and 25282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25275 and 25282 the smallest integer that is 639002550 that is divisible by both numbers.

Least Common Multiple (LCM) of 25275 and 25282 is 639002550.

LCM(25275,25282) = 639002550

LCM of 25275 and 25282

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

LCM of:
and

Least Common Multiple of 25275 and 25282

LCM of 25275 and 25282 is 639002550

Least common multiple can be found by multiplying the highest exponent prime factors of 25275 and 25282. First we will calculate the prime factors of 25275 and 25282.

Prime Factorization of 25275


3 25275
5 8425
5 1685
337 337
1

Prime factors of 25275 are 3, 5,337. Prime factorization of 25275 in exponential form is:

25275 = 31×52×3371

Prime Factorization of 25282


2 25282
12641 12641
1

Prime factors of 25282 are 2,12641. Prime factorization of 25282 in exponential form is:

25282 = 21×126411

Now multiplying the highest exponent prime factors to calculate the LCM of 25275 and 25282.

LCM(25275,25282) = 21×31×52×3371×126411
LCM(25275,25282) = 639002550

Factors of 25275

List of positive integer factors of 25275 that divides 25275 without a remainder.

1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425, 25275

Factors of 25282

List of positive integer factors of 25282 that divides 25282 without a remainder.

1, 2, 12641, 25282

Least Common Multiple of 25275 and 25282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25275 and 25282, than apply into the LCM equation.

GCF(25275,25282) = 1
LCM(25275,25282) = ( 25275 × 25282) / 1
LCM(25275,25282) = 639002550 / 1
LCM(25275,25282) = 639002550

Properties of LCM 25275 and 25282

(i) The LCM of 25282 and 25275 is associative

LCM of 25275 and 25282 = LCM of 25282 and 25275

Related Least Common Multiples of 25275

Related Least Common Multiples of 25282

Frequently Asked Questions on LCM of 25275 and 25282

1. What is the LCM of 25275 and 25282?

Answer: LCM of 25275 and 25282 is 639002550.

2. What are the Factors of 25275?

Answer: Factors of 25275 are 1, 3, 5, 15, 25, 75, 337, 1011, 1685, 5055, 8425, 25275. There are 12 integers that are factors of 25275. The greatest factor of 25275 is 25275.

3. What are the Factors of 25282?

Answer: Factors of 25282 are 1, 2, 12641, 25282. There are 4 integers that are factors of 25282. The greatest factor of 25282 is 25282.

4. How to Find the LCM of 25275 and 25282?

Answer:

Least Common Multiple of 25275 and 25282 = 639002550

Step 1: Find the prime factorization of 25275

25275 = 3 x 5 x 5 x 337

Step 2: Find the prime factorization of 25282

25282 = 2 x 12641

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

LCM = 639002550 = 2 x 3 x 5 x 5 x 337 x 12641

Step 4: Therefore, the least common multiple of 25275 and 25282 is 639002550.