Least Common Multiple of 15246 and 15250

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 15250 the smallest integer that is 116250750 that is divisible by both numbers.

Least Common Multiple (LCM) of 15246 and 15250 is 116250750.

LCM(15246,15250) = 116250750

LCM of 15246 and 15250

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

LCM of:
and

Least Common Multiple of 15246 and 15250

LCM of 15246 and 15250 is 116250750

Least common multiple can be found by multiplying the highest exponent prime factors of 15246 and 15250. First we will calculate the prime factors of 15246 and 15250.

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 15250


2 15250
5 7625
5 1525
5 305
61 61
1

Prime factors of 15250 are 2, 5,61. Prime factorization of 15250 in exponential form is:

15250 = 21×53×611

Now multiplying the highest exponent prime factors to calculate the LCM of 15246 and 15250.

LCM(15246,15250) = 21×32×53×71×112×611
LCM(15246,15250) = 116250750

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 15250

List of positive integer factors of 15250 that divides 15250 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250

Least Common Multiple of 15246 and 15250 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 15250, than apply into the LCM equation.

GCF(15246,15250) = 2
LCM(15246,15250) = ( 15246 × 15250) / 2
LCM(15246,15250) = 232501500 / 2
LCM(15246,15250) = 116250750

Properties of LCM 15246 and 15250

(i) The LCM of 15250 and 15246 is associative

LCM of 15246 and 15250 = LCM of 15250 and 15246

Related Least Common Multiples of 15246

Related Least Common Multiples of 15250

Frequently Asked Questions on LCM of 15246 and 15250

1. What is the LCM of 15246 and 15250?

Answer: LCM of 15246 and 15250 is 116250750.

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 15250?

Answer: Factors of 15250 are 1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250. There are 16 integers that are factors of 15250. The greatest factor of 15250 is 15250.

4. How to Find the LCM of 15246 and 15250?

Answer:

Least Common Multiple of 15246 and 15250 = 116250750

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 15250

15250 = 2 x 5 x 5 x 5 x 61

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

LCM = 116250750 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 15246 and 15250 is 116250750.