Least Common Multiple of 17242 and 17248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17242 and 17248 the smallest integer that is 148695008 that is divisible by both numbers.

Least Common Multiple (LCM) of 17242 and 17248 is 148695008.

LCM(17242,17248) = 148695008

LCM of 17242 and 17248

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

LCM of:
and

Least Common Multiple of 17242 and 17248

LCM of 17242 and 17248 is 148695008

Least common multiple can be found by multiplying the highest exponent prime factors of 17242 and 17248. First we will calculate the prime factors of 17242 and 17248.

Prime Factorization of 17242


2 17242
37 8621
233 233
1

Prime factors of 17242 are 2, 37,233. Prime factorization of 17242 in exponential form is:

17242 = 21×371×2331

Prime Factorization of 17248


2 17248
2 8624
2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 17248 are 2, 7,11. Prime factorization of 17248 in exponential form is:

17248 = 25×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 17242 and 17248.

LCM(17242,17248) = 25×72×111×371×2331
LCM(17242,17248) = 148695008

Factors of 17242

List of positive integer factors of 17242 that divides 17242 without a remainder.

1, 2, 37, 74, 233, 466, 8621, 17242

Factors of 17248

List of positive integer factors of 17248 that divides 17248 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 539, 616, 784, 1078, 1232, 1568, 2156, 2464, 4312, 8624, 17248

Least Common Multiple of 17242 and 17248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17242 and 17248, than apply into the LCM equation.

GCF(17242,17248) = 2
LCM(17242,17248) = ( 17242 × 17248) / 2
LCM(17242,17248) = 297390016 / 2
LCM(17242,17248) = 148695008

Properties of LCM 17242 and 17248

(i) The LCM of 17248 and 17242 is associative

LCM of 17242 and 17248 = LCM of 17248 and 17242

Related Least Common Multiples of 17242

Related Least Common Multiples of 17248

Frequently Asked Questions on LCM of 17242 and 17248

1. What is the LCM of 17242 and 17248?

Answer: LCM of 17242 and 17248 is 148695008.

2. What are the Factors of 17242?

Answer: Factors of 17242 are 1, 2, 37, 74, 233, 466, 8621, 17242. There are 8 integers that are factors of 17242. The greatest factor of 17242 is 17242.

3. What are the Factors of 17248?

Answer: Factors of 17248 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 539, 616, 784, 1078, 1232, 1568, 2156, 2464, 4312, 8624, 17248. There are 36 integers that are factors of 17248. The greatest factor of 17248 is 17248.

4. How to Find the LCM of 17242 and 17248?

Answer:

Least Common Multiple of 17242 and 17248 = 148695008

Step 1: Find the prime factorization of 17242

17242 = 2 x 37 x 233

Step 2: Find the prime factorization of 17248

17248 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11

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

LCM = 148695008 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 11 x 37 x 233

Step 4: Therefore, the least common multiple of 17242 and 17248 is 148695008.