Least Common Multiple of 15248 and 15253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15248 and 15253 the smallest integer that is 232577744 that is divisible by both numbers.

Least Common Multiple (LCM) of 15248 and 15253 is 232577744.

LCM(15248,15253) = 232577744

LCM of 15248 and 15253

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

LCM of:
and

Least Common Multiple of 15248 and 15253

LCM of 15248 and 15253 is 232577744

Least common multiple can be found by multiplying the highest exponent prime factors of 15248 and 15253. First we will calculate the prime factors of 15248 and 15253.

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

Prime Factorization of 15253


7 15253
2179 2179
1

Prime factors of 15253 are 7,2179. Prime factorization of 15253 in exponential form is:

15253 = 71×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 15248 and 15253.

LCM(15248,15253) = 24×71×9531×21791
LCM(15248,15253) = 232577744

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

Factors of 15253

List of positive integer factors of 15253 that divides 15253 without a remainder.

1, 7, 2179, 15253

Least Common Multiple of 15248 and 15253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15248 and 15253, than apply into the LCM equation.

GCF(15248,15253) = 1
LCM(15248,15253) = ( 15248 × 15253) / 1
LCM(15248,15253) = 232577744 / 1
LCM(15248,15253) = 232577744

Properties of LCM 15248 and 15253

(i) The LCM of 15253 and 15248 is associative

LCM of 15248 and 15253 = LCM of 15253 and 15248

Related Least Common Multiples of 15248

Related Least Common Multiples of 15253

Frequently Asked Questions on LCM of 15248 and 15253

1. What is the LCM of 15248 and 15253?

Answer: LCM of 15248 and 15253 is 232577744.

2. 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.

3. What are the Factors of 15253?

Answer: Factors of 15253 are 1, 7, 2179, 15253. There are 4 integers that are factors of 15253. The greatest factor of 15253 is 15253.

4. How to Find the LCM of 15248 and 15253?

Answer:

Least Common Multiple of 15248 and 15253 = 232577744

Step 1: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 15253

15253 = 7 x 2179

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

LCM = 232577744 = 2 x 2 x 2 x 2 x 7 x 953 x 2179

Step 4: Therefore, the least common multiple of 15248 and 15253 is 232577744.