Least Common Multiple of 25277 and 25284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 25277 and 25284 the smallest integer that is 91300524 that is divisible by both numbers.

Least Common Multiple (LCM) of 25277 and 25284 is 91300524.

LCM(25277,25284) = 91300524

LCM of 25277 and 25284

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

LCM of:
and

Least Common Multiple of 25277 and 25284

LCM of 25277 and 25284 is 91300524

Least common multiple can be found by multiplying the highest exponent prime factors of 25277 and 25284. First we will calculate the prime factors of 25277 and 25284.

Prime Factorization of 25277


7 25277
23 3611
157 157
1

Prime factors of 25277 are 7, 23,157. Prime factorization of 25277 in exponential form is:

25277 = 71×231×1571

Prime Factorization of 25284


2 25284
2 12642
3 6321
7 2107
7 301
43 43
1

Prime factors of 25284 are 2, 3, 7,43. Prime factorization of 25284 in exponential form is:

25284 = 22×31×72×431

Now multiplying the highest exponent prime factors to calculate the LCM of 25277 and 25284.

LCM(25277,25284) = 22×31×72×231×431×1571
LCM(25277,25284) = 91300524

Factors of 25277

List of positive integer factors of 25277 that divides 25277 without a remainder.

1, 7, 23, 157, 161, 1099, 3611, 25277

Factors of 25284

List of positive integer factors of 25284 that divides 25284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642, 25284

Least Common Multiple of 25277 and 25284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25277 and 25284, than apply into the LCM equation.

GCF(25277,25284) = 7
LCM(25277,25284) = ( 25277 × 25284) / 7
LCM(25277,25284) = 639103668 / 7
LCM(25277,25284) = 91300524

Properties of LCM 25277 and 25284

(i) The LCM of 25284 and 25277 is associative

LCM of 25277 and 25284 = LCM of 25284 and 25277

Related Least Common Multiples of 25277

Related Least Common Multiples of 25284

Frequently Asked Questions on LCM of 25277 and 25284

1. What is the LCM of 25277 and 25284?

Answer: LCM of 25277 and 25284 is 91300524.

2. What are the Factors of 25277?

Answer: Factors of 25277 are 1, 7, 23, 157, 161, 1099, 3611, 25277. There are 8 integers that are factors of 25277. The greatest factor of 25277 is 25277.

3. What are the Factors of 25284?

Answer: Factors of 25284 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 49, 84, 86, 98, 129, 147, 172, 196, 258, 294, 301, 516, 588, 602, 903, 1204, 1806, 2107, 3612, 4214, 6321, 8428, 12642, 25284. There are 36 integers that are factors of 25284. The greatest factor of 25284 is 25284.

4. How to Find the LCM of 25277 and 25284?

Answer:

Least Common Multiple of 25277 and 25284 = 91300524

Step 1: Find the prime factorization of 25277

25277 = 7 x 23 x 157

Step 2: Find the prime factorization of 25284

25284 = 2 x 2 x 3 x 7 x 7 x 43

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

LCM = 91300524 = 2 x 2 x 3 x 7 x 7 x 23 x 43 x 157

Step 4: Therefore, the least common multiple of 25277 and 25284 is 91300524.