Least Common Multiple of 25271 and 25276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25271 and 25276 the smallest integer that is 638749796 that is divisible by both numbers.

Least Common Multiple (LCM) of 25271 and 25276 is 638749796.

LCM(25271,25276) = 638749796

LCM of 25271 and 25276

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

LCM of:
and

Least Common Multiple of 25271 and 25276

LCM of 25271 and 25276 is 638749796

Least common multiple can be found by multiplying the highest exponent prime factors of 25271 and 25276. First we will calculate the prime factors of 25271 and 25276.

Prime Factorization of 25271


37 25271
683 683
1

Prime factors of 25271 are 37,683. Prime factorization of 25271 in exponential form is:

25271 = 371×6831

Prime Factorization of 25276


2 25276
2 12638
71 6319
89 89
1

Prime factors of 25276 are 2, 71,89. Prime factorization of 25276 in exponential form is:

25276 = 22×711×891

Now multiplying the highest exponent prime factors to calculate the LCM of 25271 and 25276.

LCM(25271,25276) = 22×371×711×891×6831
LCM(25271,25276) = 638749796

Factors of 25271

List of positive integer factors of 25271 that divides 25271 without a remainder.

1, 37, 683, 25271

Factors of 25276

List of positive integer factors of 25276 that divides 25276 without a remainder.

1, 2, 4, 71, 89, 142, 178, 284, 356, 6319, 12638, 25276

Least Common Multiple of 25271 and 25276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25271 and 25276, than apply into the LCM equation.

GCF(25271,25276) = 1
LCM(25271,25276) = ( 25271 × 25276) / 1
LCM(25271,25276) = 638749796 / 1
LCM(25271,25276) = 638749796

Properties of LCM 25271 and 25276

(i) The LCM of 25276 and 25271 is associative

LCM of 25271 and 25276 = LCM of 25276 and 25271

Related Least Common Multiples of 25271

Related Least Common Multiples of 25276

Frequently Asked Questions on LCM of 25271 and 25276

1. What is the LCM of 25271 and 25276?

Answer: LCM of 25271 and 25276 is 638749796.

2. What are the Factors of 25271?

Answer: Factors of 25271 are 1, 37, 683, 25271. There are 4 integers that are factors of 25271. The greatest factor of 25271 is 25271.

3. What are the Factors of 25276?

Answer: Factors of 25276 are 1, 2, 4, 71, 89, 142, 178, 284, 356, 6319, 12638, 25276. There are 12 integers that are factors of 25276. The greatest factor of 25276 is 25276.

4. How to Find the LCM of 25271 and 25276?

Answer:

Least Common Multiple of 25271 and 25276 = 638749796

Step 1: Find the prime factorization of 25271

25271 = 37 x 683

Step 2: Find the prime factorization of 25276

25276 = 2 x 2 x 71 x 89

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

LCM = 638749796 = 2 x 2 x 37 x 71 x 89 x 683

Step 4: Therefore, the least common multiple of 25271 and 25276 is 638749796.