Least Common Multiple of 17292 and 17298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17292 and 17298 the smallest integer that is 49852836 that is divisible by both numbers.

Least Common Multiple (LCM) of 17292 and 17298 is 49852836.

LCM(17292,17298) = 49852836

LCM of 17292 and 17298

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

LCM of:
and

Least Common Multiple of 17292 and 17298

LCM of 17292 and 17298 is 49852836

Least common multiple can be found by multiplying the highest exponent prime factors of 17292 and 17298. First we will calculate the prime factors of 17292 and 17298.

Prime Factorization of 17292


2 17292
2 8646
3 4323
11 1441
131 131
1

Prime factors of 17292 are 2, 3, 11,131. Prime factorization of 17292 in exponential form is:

17292 = 22×31×111×1311

Prime Factorization of 17298


2 17298
3 8649
3 2883
31 961
31 31
1

Prime factors of 17298 are 2, 3,31. Prime factorization of 17298 in exponential form is:

17298 = 21×32×312

Now multiplying the highest exponent prime factors to calculate the LCM of 17292 and 17298.

LCM(17292,17298) = 22×32×111×312×1311
LCM(17292,17298) = 49852836

Factors of 17292

List of positive integer factors of 17292 that divides 17292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292

Factors of 17298

List of positive integer factors of 17298 that divides 17298 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298

Least Common Multiple of 17292 and 17298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17292 and 17298, than apply into the LCM equation.

GCF(17292,17298) = 6
LCM(17292,17298) = ( 17292 × 17298) / 6
LCM(17292,17298) = 299117016 / 6
LCM(17292,17298) = 49852836

Properties of LCM 17292 and 17298

(i) The LCM of 17298 and 17292 is associative

LCM of 17292 and 17298 = LCM of 17298 and 17292

Related Least Common Multiples of 17292

Related Least Common Multiples of 17298

Frequently Asked Questions on LCM of 17292 and 17298

1. What is the LCM of 17292 and 17298?

Answer: LCM of 17292 and 17298 is 49852836.

2. What are the Factors of 17292?

Answer: Factors of 17292 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 131, 132, 262, 393, 524, 786, 1441, 1572, 2882, 4323, 5764, 8646, 17292. There are 24 integers that are factors of 17292. The greatest factor of 17292 is 17292.

3. What are the Factors of 17298?

Answer: Factors of 17298 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298. There are 18 integers that are factors of 17298. The greatest factor of 17298 is 17298.

4. How to Find the LCM of 17292 and 17298?

Answer:

Least Common Multiple of 17292 and 17298 = 49852836

Step 1: Find the prime factorization of 17292

17292 = 2 x 2 x 3 x 11 x 131

Step 2: Find the prime factorization of 17298

17298 = 2 x 3 x 3 x 31 x 31

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

LCM = 49852836 = 2 x 2 x 3 x 3 x 11 x 31 x 31 x 131

Step 4: Therefore, the least common multiple of 17292 and 17298 is 49852836.