Least Common Multiple of 15335 and 15340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15335 and 15340 the smallest integer that is 47047780 that is divisible by both numbers.

Least Common Multiple (LCM) of 15335 and 15340 is 47047780.

LCM(15335,15340) = 47047780

LCM of 15335 and 15340

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

LCM of:
and

Least Common Multiple of 15335 and 15340

LCM of 15335 and 15340 is 47047780

Least common multiple can be found by multiplying the highest exponent prime factors of 15335 and 15340. First we will calculate the prime factors of 15335 and 15340.

Prime Factorization of 15335


5 15335
3067 3067
1

Prime factors of 15335 are 5,3067. Prime factorization of 15335 in exponential form is:

15335 = 51×30671

Prime Factorization of 15340


2 15340
2 7670
5 3835
13 767
59 59
1

Prime factors of 15340 are 2, 5, 13,59. Prime factorization of 15340 in exponential form is:

15340 = 22×51×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 15335 and 15340.

LCM(15335,15340) = 22×51×131×591×30671
LCM(15335,15340) = 47047780

Factors of 15335

List of positive integer factors of 15335 that divides 15335 without a remainder.

1, 5, 3067, 15335

Factors of 15340

List of positive integer factors of 15340 that divides 15340 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670, 15340

Least Common Multiple of 15335 and 15340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15335 and 15340, than apply into the LCM equation.

GCF(15335,15340) = 5
LCM(15335,15340) = ( 15335 × 15340) / 5
LCM(15335,15340) = 235238900 / 5
LCM(15335,15340) = 47047780

Properties of LCM 15335 and 15340

(i) The LCM of 15340 and 15335 is associative

LCM of 15335 and 15340 = LCM of 15340 and 15335

Related Least Common Multiples of 15335

Related Least Common Multiples of 15340

Frequently Asked Questions on LCM of 15335 and 15340

1. What is the LCM of 15335 and 15340?

Answer: LCM of 15335 and 15340 is 47047780.

2. What are the Factors of 15335?

Answer: Factors of 15335 are 1, 5, 3067, 15335. There are 4 integers that are factors of 15335. The greatest factor of 15335 is 15335.

3. What are the Factors of 15340?

Answer: Factors of 15340 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670, 15340. There are 24 integers that are factors of 15340. The greatest factor of 15340 is 15340.

4. How to Find the LCM of 15335 and 15340?

Answer:

Least Common Multiple of 15335 and 15340 = 47047780

Step 1: Find the prime factorization of 15335

15335 = 5 x 3067

Step 2: Find the prime factorization of 15340

15340 = 2 x 2 x 5 x 13 x 59

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

LCM = 47047780 = 2 x 2 x 5 x 13 x 59 x 3067

Step 4: Therefore, the least common multiple of 15335 and 15340 is 47047780.