Least Common Multiple of 15274 and 15279

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 15279 the smallest integer that is 233371446 that is divisible by both numbers.

Least Common Multiple (LCM) of 15274 and 15279 is 233371446.

LCM(15274,15279) = 233371446

LCM of 15274 and 15279

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

LCM of:
and

Least Common Multiple of 15274 and 15279

LCM of 15274 and 15279 is 233371446

Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15279. First we will calculate the prime factors of 15274 and 15279.

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 15279


3 15279
11 5093
463 463
1

Prime factors of 15279 are 3, 11,463. Prime factorization of 15279 in exponential form is:

15279 = 31×111×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15279.

LCM(15274,15279) = 21×31×71×111×4631×10911
LCM(15274,15279) = 233371446

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 15279

List of positive integer factors of 15279 that divides 15279 without a remainder.

1, 3, 11, 33, 463, 1389, 5093, 15279

Least Common Multiple of 15274 and 15279 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 15279, than apply into the LCM equation.

GCF(15274,15279) = 1
LCM(15274,15279) = ( 15274 × 15279) / 1
LCM(15274,15279) = 233371446 / 1
LCM(15274,15279) = 233371446

Properties of LCM 15274 and 15279

(i) The LCM of 15279 and 15274 is associative

LCM of 15274 and 15279 = LCM of 15279 and 15274

Related Least Common Multiples of 15274

Related Least Common Multiples of 15279

Frequently Asked Questions on LCM of 15274 and 15279

1. What is the LCM of 15274 and 15279?

Answer: LCM of 15274 and 15279 is 233371446.

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 15279?

Answer: Factors of 15279 are 1, 3, 11, 33, 463, 1389, 5093, 15279. There are 8 integers that are factors of 15279. The greatest factor of 15279 is 15279.

4. How to Find the LCM of 15274 and 15279?

Answer:

Least Common Multiple of 15274 and 15279 = 233371446

Step 1: Find the prime factorization of 15274

15274 = 2 x 7 x 1091

Step 2: Find the prime factorization of 15279

15279 = 3 x 11 x 463

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

LCM = 233371446 = 2 x 3 x 7 x 11 x 463 x 1091

Step 4: Therefore, the least common multiple of 15274 and 15279 is 233371446.