Least Common Multiple of 15274 and 15280

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 15280 the smallest integer that is 116693360 that is divisible by both numbers.

Least Common Multiple (LCM) of 15274 and 15280 is 116693360.

LCM(15274,15280) = 116693360

LCM of 15274 and 15280

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

LCM of:
and

Least Common Multiple of 15274 and 15280

LCM of 15274 and 15280 is 116693360

Least common multiple can be found by multiplying the highest exponent prime factors of 15274 and 15280. First we will calculate the prime factors of 15274 and 15280.

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 15280


2 15280
2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 15280 are 2, 5,191. Prime factorization of 15280 in exponential form is:

15280 = 24×51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 15274 and 15280.

LCM(15274,15280) = 24×51×71×1911×10911
LCM(15274,15280) = 116693360

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 15280

List of positive integer factors of 15280 that divides 15280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 191, 382, 764, 955, 1528, 1910, 3056, 3820, 7640, 15280

Least Common Multiple of 15274 and 15280 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 15280, than apply into the LCM equation.

GCF(15274,15280) = 2
LCM(15274,15280) = ( 15274 × 15280) / 2
LCM(15274,15280) = 233386720 / 2
LCM(15274,15280) = 116693360

Properties of LCM 15274 and 15280

(i) The LCM of 15280 and 15274 is associative

LCM of 15274 and 15280 = LCM of 15280 and 15274

Related Least Common Multiples of 15274

Related Least Common Multiples of 15280

Frequently Asked Questions on LCM of 15274 and 15280

1. What is the LCM of 15274 and 15280?

Answer: LCM of 15274 and 15280 is 116693360.

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 15280?

Answer: Factors of 15280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 191, 382, 764, 955, 1528, 1910, 3056, 3820, 7640, 15280. There are 20 integers that are factors of 15280. The greatest factor of 15280 is 15280.

4. How to Find the LCM of 15274 and 15280?

Answer:

Least Common Multiple of 15274 and 15280 = 116693360

Step 1: Find the prime factorization of 15274

15274 = 2 x 7 x 1091

Step 2: Find the prime factorization of 15280

15280 = 2 x 2 x 2 x 2 x 5 x 191

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

LCM = 116693360 = 2 x 2 x 2 x 2 x 5 x 7 x 191 x 1091

Step 4: Therefore, the least common multiple of 15274 and 15280 is 116693360.