Least Common Multiple of 9248 and 9254

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 9254 the smallest integer that is 42790496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9248 and 9254 is 42790496.

LCM(9248,9254) = 42790496

LCM of 9248 and 9254

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

LCM of:
and

Least Common Multiple of 9248 and 9254

LCM of 9248 and 9254 is 42790496

Least common multiple can be found by multiplying the highest exponent prime factors of 9248 and 9254. First we will calculate the prime factors of 9248 and 9254.

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 9254


2 9254
7 4627
661 661
1

Prime factors of 9254 are 2, 7,661. Prime factorization of 9254 in exponential form is:

9254 = 21×71×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 9248 and 9254.

LCM(9248,9254) = 25×71×172×6611
LCM(9248,9254) = 42790496

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 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1, 2, 7, 14, 661, 1322, 4627, 9254

Least Common Multiple of 9248 and 9254 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 9254, than apply into the LCM equation.

GCF(9248,9254) = 2
LCM(9248,9254) = ( 9248 × 9254) / 2
LCM(9248,9254) = 85580992 / 2
LCM(9248,9254) = 42790496

Properties of LCM 9248 and 9254

(i) The LCM of 9254 and 9248 is associative

LCM of 9248 and 9254 = LCM of 9254 and 9248

Related Least Common Multiples of 9248

Related Least Common Multiples of 9254

Frequently Asked Questions on LCM of 9248 and 9254

1. What is the LCM of 9248 and 9254?

Answer: LCM of 9248 and 9254 is 42790496.

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 9254?

Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.

4. How to Find the LCM of 9248 and 9254?

Answer:

Least Common Multiple of 9248 and 9254 = 42790496

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 9254

9254 = 2 x 7 x 661

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

LCM = 42790496 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 17 x 661

Step 4: Therefore, the least common multiple of 9248 and 9254 is 42790496.