Least Common Multiple of 15245 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 15245 and 15248 the smallest integer that is 232455760 that is divisible by both numbers.

Least Common Multiple (LCM) of 15245 and 15248 is 232455760.

LCM(15245,15248) = 232455760

LCM of 15245 and 15248

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

LCM of:
and

Least Common Multiple of 15245 and 15248

LCM of 15245 and 15248 is 232455760

Least common multiple can be found by multiplying the highest exponent prime factors of 15245 and 15248. First we will calculate the prime factors of 15245 and 15248.

Prime Factorization of 15245


5 15245
3049 3049
1

Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:

15245 = 51×30491

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 15245 and 15248.

LCM(15245,15248) = 24×51×9531×30491
LCM(15245,15248) = 232455760

Factors of 15245

List of positive integer factors of 15245 that divides 15245 without a remainder.

1, 5, 3049, 15245

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 15245 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 15245 and 15248, than apply into the LCM equation.

GCF(15245,15248) = 1
LCM(15245,15248) = ( 15245 × 15248) / 1
LCM(15245,15248) = 232455760 / 1
LCM(15245,15248) = 232455760

Properties of LCM 15245 and 15248

(i) The LCM of 15248 and 15245 is associative

LCM of 15245 and 15248 = LCM of 15248 and 15245

Related Least Common Multiples of 15245

Related Least Common Multiples of 15248

Frequently Asked Questions on LCM of 15245 and 15248

1. What is the LCM of 15245 and 15248?

Answer: LCM of 15245 and 15248 is 232455760.

2. What are the Factors of 15245?

Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.

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 15245 and 15248?

Answer:

Least Common Multiple of 15245 and 15248 = 232455760

Step 1: Find the prime factorization of 15245

15245 = 5 x 3049

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 = 232455760 = 2 x 2 x 2 x 2 x 5 x 953 x 3049

Step 4: Therefore, the least common multiple of 15245 and 15248 is 232455760.