Least Common Multiple of 9248 and 9255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9248 and 9255 the smallest integer that is 85590240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9248 and 9255 is 85590240.

LCM(9248,9255) = 85590240

LCM of 9248 and 9255

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

LCM of:
and

Least Common Multiple of 9248 and 9255

LCM of 9248 and 9255 is 85590240

Least common multiple can be found by multiplying the highest exponent prime factors of 9248 and 9255. First we will calculate the prime factors of 9248 and 9255.

Prime Factorization of 9248


2 9248
2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 9248 are 2,17. Prime factorization of 9248 in exponential form is:

9248 = 25×172

Prime Factorization of 9255


3 9255
5 3085
617 617
1

Prime factors of 9255 are 3, 5,617. Prime factorization of 9255 in exponential form is:

9255 = 31×51×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 9248 and 9255.

LCM(9248,9255) = 25×31×51×172×6171
LCM(9248,9255) = 85590240

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1, 3, 5, 15, 617, 1851, 3085, 9255

Least Common Multiple of 9248 and 9255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9248 and 9255, than apply into the LCM equation.

GCF(9248,9255) = 1
LCM(9248,9255) = ( 9248 × 9255) / 1
LCM(9248,9255) = 85590240 / 1
LCM(9248,9255) = 85590240

Properties of LCM 9248 and 9255

(i) The LCM of 9255 and 9248 is associative

LCM of 9248 and 9255 = LCM of 9255 and 9248

Related Least Common Multiples of 9248

Related Least Common Multiples of 9255

Frequently Asked Questions on LCM of 9248 and 9255

1. What is the LCM of 9248 and 9255?

Answer: LCM of 9248 and 9255 is 85590240.

2. What are the Factors of 9248?

Answer: Factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. There are 18 integers that are factors of 9248. The greatest factor of 9248 is 9248.

3. What are the Factors of 9255?

Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.

4. How to Find the LCM of 9248 and 9255?

Answer:

Least Common Multiple of 9248 and 9255 = 85590240

Step 1: Find the prime factorization of 9248

9248 = 2 x 2 x 2 x 2 x 2 x 17 x 17

Step 2: Find the prime factorization of 9255

9255 = 3 x 5 x 617

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

LCM = 85590240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 17 x 617

Step 4: Therefore, the least common multiple of 9248 and 9255 is 85590240.