Least Common Multiple of 15246 and 15254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15246 and 15254 the smallest integer that is 116281242 that is divisible by both numbers.

Least Common Multiple (LCM) of 15246 and 15254 is 116281242.

LCM(15246,15254) = 116281242

LCM of 15246 and 15254

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

LCM of:
and

Least Common Multiple of 15246 and 15254

LCM of 15246 and 15254 is 116281242

Least common multiple can be found by multiplying the highest exponent prime factors of 15246 and 15254. First we will calculate the prime factors of 15246 and 15254.

Prime Factorization of 15246


2 15246
3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 15246 are 2, 3, 7,11. Prime factorization of 15246 in exponential form is:

15246 = 21×32×71×112

Prime Factorization of 15254


2 15254
29 7627
263 263
1

Prime factors of 15254 are 2, 29,263. Prime factorization of 15254 in exponential form is:

15254 = 21×291×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 15246 and 15254.

LCM(15246,15254) = 21×32×71×112×291×2631
LCM(15246,15254) = 116281242

Factors of 15246

List of positive integer factors of 15246 that divides 15246 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246

Factors of 15254

List of positive integer factors of 15254 that divides 15254 without a remainder.

1, 2, 29, 58, 263, 526, 7627, 15254

Least Common Multiple of 15246 and 15254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15246 and 15254, than apply into the LCM equation.

GCF(15246,15254) = 2
LCM(15246,15254) = ( 15246 × 15254) / 2
LCM(15246,15254) = 232562484 / 2
LCM(15246,15254) = 116281242

Properties of LCM 15246 and 15254

(i) The LCM of 15254 and 15246 is associative

LCM of 15246 and 15254 = LCM of 15254 and 15246

Related Least Common Multiples of 15246

Related Least Common Multiples of 15254

Frequently Asked Questions on LCM of 15246 and 15254

1. What is the LCM of 15246 and 15254?

Answer: LCM of 15246 and 15254 is 116281242.

2. What are the Factors of 15246?

Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.

3. What are the Factors of 15254?

Answer: Factors of 15254 are 1, 2, 29, 58, 263, 526, 7627, 15254. There are 8 integers that are factors of 15254. The greatest factor of 15254 is 15254.

4. How to Find the LCM of 15246 and 15254?

Answer:

Least Common Multiple of 15246 and 15254 = 116281242

Step 1: Find the prime factorization of 15246

15246 = 2 x 3 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 15254

15254 = 2 x 29 x 263

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

LCM = 116281242 = 2 x 3 x 3 x 7 x 11 x 11 x 29 x 263

Step 4: Therefore, the least common multiple of 15246 and 15254 is 116281242.