Least Common Multiple of 15248 and 15255

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 15255 the smallest integer that is 232608240 that is divisible by both numbers.

Least Common Multiple (LCM) of 15248 and 15255 is 232608240.

LCM(15248,15255) = 232608240

LCM of 15248 and 15255

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

LCM of:
and

Least Common Multiple of 15248 and 15255

LCM of 15248 and 15255 is 232608240

Least common multiple can be found by multiplying the highest exponent prime factors of 15248 and 15255. First we will calculate the prime factors of 15248 and 15255.

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 15255


3 15255
3 5085
3 1695
5 565
113 113
1

Prime factors of 15255 are 3, 5,113. Prime factorization of 15255 in exponential form is:

15255 = 33×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 15248 and 15255.

LCM(15248,15255) = 24×33×51×1131×9531
LCM(15248,15255) = 232608240

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 15255

List of positive integer factors of 15255 that divides 15255 without a remainder.

1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255

Least Common Multiple of 15248 and 15255 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 15255, than apply into the LCM equation.

GCF(15248,15255) = 1
LCM(15248,15255) = ( 15248 × 15255) / 1
LCM(15248,15255) = 232608240 / 1
LCM(15248,15255) = 232608240

Properties of LCM 15248 and 15255

(i) The LCM of 15255 and 15248 is associative

LCM of 15248 and 15255 = LCM of 15255 and 15248

Related Least Common Multiples of 15248

Related Least Common Multiples of 15255

Frequently Asked Questions on LCM of 15248 and 15255

1. What is the LCM of 15248 and 15255?

Answer: LCM of 15248 and 15255 is 232608240.

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 15255?

Answer: Factors of 15255 are 1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255. There are 16 integers that are factors of 15255. The greatest factor of 15255 is 15255.

4. How to Find the LCM of 15248 and 15255?

Answer:

Least Common Multiple of 15248 and 15255 = 232608240

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 15255

15255 = 3 x 3 x 3 x 5 x 113

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

LCM = 232608240 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 113 x 953

Step 4: Therefore, the least common multiple of 15248 and 15255 is 232608240.