Least Common Multiple of 15248 and 15256

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 15256 the smallest integer that is 29077936 that is divisible by both numbers.

Least Common Multiple (LCM) of 15248 and 15256 is 29077936.

LCM(15248,15256) = 29077936

LCM of 15248 and 15256

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

LCM of:
and

Least Common Multiple of 15248 and 15256

LCM of 15248 and 15256 is 29077936

Least common multiple can be found by multiplying the highest exponent prime factors of 15248 and 15256. First we will calculate the prime factors of 15248 and 15256.

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 15256


2 15256
2 7628
2 3814
1907 1907
1

Prime factors of 15256 are 2,1907. Prime factorization of 15256 in exponential form is:

15256 = 23×19071

Now multiplying the highest exponent prime factors to calculate the LCM of 15248 and 15256.

LCM(15248,15256) = 24×9531×19071
LCM(15248,15256) = 29077936

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 15256

List of positive integer factors of 15256 that divides 15256 without a remainder.

1, 2, 4, 8, 1907, 3814, 7628, 15256

Least Common Multiple of 15248 and 15256 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 15256, than apply into the LCM equation.

GCF(15248,15256) = 8
LCM(15248,15256) = ( 15248 × 15256) / 8
LCM(15248,15256) = 232623488 / 8
LCM(15248,15256) = 29077936

Properties of LCM 15248 and 15256

(i) The LCM of 15256 and 15248 is associative

LCM of 15248 and 15256 = LCM of 15256 and 15248

Related Least Common Multiples of 15248

Related Least Common Multiples of 15256

Frequently Asked Questions on LCM of 15248 and 15256

1. What is the LCM of 15248 and 15256?

Answer: LCM of 15248 and 15256 is 29077936.

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 15256?

Answer: Factors of 15256 are 1, 2, 4, 8, 1907, 3814, 7628, 15256. There are 8 integers that are factors of 15256. The greatest factor of 15256 is 15256.

4. How to Find the LCM of 15248 and 15256?

Answer:

Least Common Multiple of 15248 and 15256 = 29077936

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 15256

15256 = 2 x 2 x 2 x 1907

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

LCM = 29077936 = 2 x 2 x 2 x 2 x 953 x 1907

Step 4: Therefore, the least common multiple of 15248 and 15256 is 29077936.