Least Common Multiple of 15337 and 15342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15337 and 15342 the smallest integer that is 235300254 that is divisible by both numbers.

Least Common Multiple (LCM) of 15337 and 15342 is 235300254.

LCM(15337,15342) = 235300254

LCM of 15337 and 15342

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

LCM of:
and

Least Common Multiple of 15337 and 15342

LCM of 15337 and 15342 is 235300254

Least common multiple can be found by multiplying the highest exponent prime factors of 15337 and 15342. First we will calculate the prime factors of 15337 and 15342.

Prime Factorization of 15337


7 15337
7 2191
313 313
1

Prime factors of 15337 are 7,313. Prime factorization of 15337 in exponential form is:

15337 = 72×3131

Prime Factorization of 15342


2 15342
3 7671
2557 2557
1

Prime factors of 15342 are 2, 3,2557. Prime factorization of 15342 in exponential form is:

15342 = 21×31×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 15337 and 15342.

LCM(15337,15342) = 21×31×72×3131×25571
LCM(15337,15342) = 235300254

Factors of 15337

List of positive integer factors of 15337 that divides 15337 without a remainder.

1, 7, 49, 313, 2191, 15337

Factors of 15342

List of positive integer factors of 15342 that divides 15342 without a remainder.

1, 2, 3, 6, 2557, 5114, 7671, 15342

Least Common Multiple of 15337 and 15342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15337 and 15342, than apply into the LCM equation.

GCF(15337,15342) = 1
LCM(15337,15342) = ( 15337 × 15342) / 1
LCM(15337,15342) = 235300254 / 1
LCM(15337,15342) = 235300254

Properties of LCM 15337 and 15342

(i) The LCM of 15342 and 15337 is associative

LCM of 15337 and 15342 = LCM of 15342 and 15337

Related Least Common Multiples of 15337

Related Least Common Multiples of 15342

Frequently Asked Questions on LCM of 15337 and 15342

1. What is the LCM of 15337 and 15342?

Answer: LCM of 15337 and 15342 is 235300254.

2. What are the Factors of 15337?

Answer: Factors of 15337 are 1, 7, 49, 313, 2191, 15337. There are 6 integers that are factors of 15337. The greatest factor of 15337 is 15337.

3. What are the Factors of 15342?

Answer: Factors of 15342 are 1, 2, 3, 6, 2557, 5114, 7671, 15342. There are 8 integers that are factors of 15342. The greatest factor of 15342 is 15342.

4. How to Find the LCM of 15337 and 15342?

Answer:

Least Common Multiple of 15337 and 15342 = 235300254

Step 1: Find the prime factorization of 15337

15337 = 7 x 7 x 313

Step 2: Find the prime factorization of 15342

15342 = 2 x 3 x 2557

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

LCM = 235300254 = 2 x 3 x 7 x 7 x 313 x 2557

Step 4: Therefore, the least common multiple of 15337 and 15342 is 235300254.