Least Common Multiple of 15243 and 15248

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 15248 the smallest integer that is 232425264 that is divisible by both numbers.

Least Common Multiple (LCM) of 15243 and 15248 is 232425264.

LCM(15243,15248) = 232425264

LCM of 15243 and 15248

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

LCM of:
and

Least Common Multiple of 15243 and 15248

LCM of 15243 and 15248 is 232425264

Least common multiple can be found by multiplying the highest exponent prime factors of 15243 and 15248. First we will calculate the prime factors of 15243 and 15248.

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 15248


2 15248
2 7624
2 3812
2 1906
953 953
1

Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:

15248 = 24×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 15243 and 15248.

LCM(15243,15248) = 24×31×9531×50811
LCM(15243,15248) = 232425264

Factors of 15243

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

1, 3, 5081, 15243

Factors of 15248

List of positive integer factors of 15248 that divides 15248 without a remainder.

1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248

Least Common Multiple of 15243 and 15248 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 15248, than apply into the LCM equation.

GCF(15243,15248) = 1
LCM(15243,15248) = ( 15243 × 15248) / 1
LCM(15243,15248) = 232425264 / 1
LCM(15243,15248) = 232425264

Properties of LCM 15243 and 15248

(i) The LCM of 15248 and 15243 is associative

LCM of 15243 and 15248 = LCM of 15248 and 15243

Related Least Common Multiples of 15243

Related Least Common Multiples of 15248

Frequently Asked Questions on LCM of 15243 and 15248

1. What is the LCM of 15243 and 15248?

Answer: LCM of 15243 and 15248 is 232425264.

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 15248?

Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.

4. How to Find the LCM of 15243 and 15248?

Answer:

Least Common Multiple of 15243 and 15248 = 232425264

Step 1: Find the prime factorization of 15243

15243 = 3 x 5081

Step 2: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

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

LCM = 232425264 = 2 x 2 x 2 x 2 x 3 x 953 x 5081

Step 4: Therefore, the least common multiple of 15243 and 15248 is 232425264.