Least Common Multiple of 15243 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 15243 and 15250 the smallest integer that is 232455750 that is divisible by both numbers.

Least Common Multiple (LCM) of 15243 and 15250 is 232455750.

LCM(15243,15250) = 232455750

LCM of 15243 and 15250

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

LCM of:
and

Least Common Multiple of 15243 and 15250

LCM of 15243 and 15250 is 232455750

Least common multiple can be found by multiplying the highest exponent prime factors of 15243 and 15250. First we will calculate the prime factors of 15243 and 15250.

Prime Factorization of 15243


3 15243
5081 5081
1

Prime factors of 15243 are 3,5081. Prime factorization of 15243 in exponential form is:

15243 = 31×50811

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 15243 and 15250.

LCM(15243,15250) = 21×31×53×611×50811
LCM(15243,15250) = 232455750

Factors of 15243

List of positive integer factors of 15243 that divides 15243 without a remainder.

1, 3, 5081, 15243

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 15243 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 15243 and 15250, than apply into the LCM equation.

GCF(15243,15250) = 1
LCM(15243,15250) = ( 15243 × 15250) / 1
LCM(15243,15250) = 232455750 / 1
LCM(15243,15250) = 232455750

Properties of LCM 15243 and 15250

(i) The LCM of 15250 and 15243 is associative

LCM of 15243 and 15250 = LCM of 15250 and 15243

Related Least Common Multiples of 15243

Related Least Common Multiples of 15250

Frequently Asked Questions on LCM of 15243 and 15250

1. What is the LCM of 15243 and 15250?

Answer: LCM of 15243 and 15250 is 232455750.

2. What are the Factors of 15243?

Answer: Factors of 15243 are 1, 3, 5081, 15243. There are 4 integers that are factors of 15243. The greatest factor of 15243 is 15243.

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 15243 and 15250?

Answer:

Least Common Multiple of 15243 and 15250 = 232455750

Step 1: Find the prime factorization of 15243

15243 = 3 x 5081

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 = 232455750 = 2 x 3 x 5 x 5 x 5 x 61 x 5081

Step 4: Therefore, the least common multiple of 15243 and 15250 is 232455750.