Least Common Multiple of 15277 and 15282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15277 and 15282 the smallest integer that is 233463114 that is divisible by both numbers.

Least Common Multiple (LCM) of 15277 and 15282 is 233463114.

LCM(15277,15282) = 233463114

LCM of 15277 and 15282

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

LCM of:
and

Least Common Multiple of 15277 and 15282

LCM of 15277 and 15282 is 233463114

Least common multiple can be found by multiplying the highest exponent prime factors of 15277 and 15282. First we will calculate the prime factors of 15277 and 15282.

Prime Factorization of 15277


15277 15277
1

Prime factors of 15277 are 15277. Prime factorization of 15277 in exponential form is:

15277 = 152771

Prime Factorization of 15282


2 15282
3 7641
3 2547
3 849
283 283
1

Prime factors of 15282 are 2, 3,283. Prime factorization of 15282 in exponential form is:

15282 = 21×33×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 15277 and 15282.

LCM(15277,15282) = 21×33×2831×152771
LCM(15277,15282) = 233463114

Factors of 15277

List of positive integer factors of 15277 that divides 15277 without a remainder.

1, 15277

Factors of 15282

List of positive integer factors of 15282 that divides 15282 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 283, 566, 849, 1698, 2547, 5094, 7641, 15282

Least Common Multiple of 15277 and 15282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15277 and 15282, than apply into the LCM equation.

GCF(15277,15282) = 1
LCM(15277,15282) = ( 15277 × 15282) / 1
LCM(15277,15282) = 233463114 / 1
LCM(15277,15282) = 233463114

Properties of LCM 15277 and 15282

(i) The LCM of 15282 and 15277 is associative

LCM of 15277 and 15282 = LCM of 15282 and 15277

Related Least Common Multiples of 15277

Related Least Common Multiples of 15282

Frequently Asked Questions on LCM of 15277 and 15282

1. What is the LCM of 15277 and 15282?

Answer: LCM of 15277 and 15282 is 233463114.

2. What are the Factors of 15277?

Answer: Factors of 15277 are 1, 15277. There are 2 integers that are factors of 15277. The greatest factor of 15277 is 15277.

3. What are the Factors of 15282?

Answer: Factors of 15282 are 1, 2, 3, 6, 9, 18, 27, 54, 283, 566, 849, 1698, 2547, 5094, 7641, 15282. There are 16 integers that are factors of 15282. The greatest factor of 15282 is 15282.

4. How to Find the LCM of 15277 and 15282?

Answer:

Least Common Multiple of 15277 and 15282 = 233463114

Step 1: Find the prime factorization of 15277

15277 = 15277

Step 2: Find the prime factorization of 15282

15282 = 2 x 3 x 3 x 3 x 283

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

LCM = 233463114 = 2 x 3 x 3 x 3 x 283 x 15277

Step 4: Therefore, the least common multiple of 15277 and 15282 is 233463114.