Least Common Multiple of 15274 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 15274 and 15282 the smallest integer that is 116708634 that is divisible by both numbers.

Least Common Multiple (LCM) of 15274 and 15282 is 116708634.

LCM(15274,15282) = 116708634

LCM of 15274 and 15282

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

LCM of:
and

Least Common Multiple of 15274 and 15282

LCM of 15274 and 15282 is 116708634

Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15282. First we will calculate the prime factors of 15274 and 15282.

Prime Factorization of 15274


2 15274
7 7637
1091 1091
1

Prime factors of 15274 are 2, 7,1091. Prime factorization of 15274 in exponential form is:

15274 = 21×71×10911

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 15274 and 15282.

LCM(15274,15282) = 21×33×71×2831×10911
LCM(15274,15282) = 116708634

Factors of 15274

List of positive integer factors of 15274 that divides 15274 without a remainder.

1, 2, 7, 14, 1091, 2182, 7637, 15274

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 15274 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 15274 and 15282, than apply into the LCM equation.

GCF(15274,15282) = 2
LCM(15274,15282) = ( 15274 × 15282) / 2
LCM(15274,15282) = 233417268 / 2
LCM(15274,15282) = 116708634

Properties of LCM 15274 and 15282

(i) The LCM of 15282 and 15274 is associative

LCM of 15274 and 15282 = LCM of 15282 and 15274

Related Least Common Multiples of 15274

Related Least Common Multiples of 15282

Frequently Asked Questions on LCM of 15274 and 15282

1. What is the LCM of 15274 and 15282?

Answer: LCM of 15274 and 15282 is 116708634.

2. What are the Factors of 15274?

Answer: Factors of 15274 are 1, 2, 7, 14, 1091, 2182, 7637, 15274. There are 8 integers that are factors of 15274. The greatest factor of 15274 is 15274.

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 15274 and 15282?

Answer:

Least Common Multiple of 15274 and 15282 = 116708634

Step 1: Find the prime factorization of 15274

15274 = 2 x 7 x 1091

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 = 116708634 = 2 x 3 x 3 x 3 x 7 x 283 x 1091

Step 4: Therefore, the least common multiple of 15274 and 15282 is 116708634.