Least Common Multiple of 17262 and 17268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17262 and 17268 the smallest integer that is 49680036 that is divisible by both numbers.

Least Common Multiple (LCM) of 17262 and 17268 is 49680036.

LCM(17262,17268) = 49680036

LCM of 17262 and 17268

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

LCM of:
and

Least Common Multiple of 17262 and 17268

LCM of 17262 and 17268 is 49680036

Least common multiple can be found by multiplying the highest exponent prime factors of 17262 and 17268. First we will calculate the prime factors of 17262 and 17268.

Prime Factorization of 17262


2 17262
3 8631
3 2877
7 959
137 137
1

Prime factors of 17262 are 2, 3, 7,137. Prime factorization of 17262 in exponential form is:

17262 = 21×32×71×1371

Prime Factorization of 17268


2 17268
2 8634
3 4317
1439 1439
1

Prime factors of 17268 are 2, 3,1439. Prime factorization of 17268 in exponential form is:

17268 = 22×31×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 17262 and 17268.

LCM(17262,17268) = 22×32×71×1371×14391
LCM(17262,17268) = 49680036

Factors of 17262

List of positive integer factors of 17262 that divides 17262 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631, 17262

Factors of 17268

List of positive integer factors of 17268 that divides 17268 without a remainder.

1, 2, 3, 4, 6, 12, 1439, 2878, 4317, 5756, 8634, 17268

Least Common Multiple of 17262 and 17268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17262 and 17268, than apply into the LCM equation.

GCF(17262,17268) = 6
LCM(17262,17268) = ( 17262 × 17268) / 6
LCM(17262,17268) = 298080216 / 6
LCM(17262,17268) = 49680036

Properties of LCM 17262 and 17268

(i) The LCM of 17268 and 17262 is associative

LCM of 17262 and 17268 = LCM of 17268 and 17262

Related Least Common Multiples of 17262

Related Least Common Multiples of 17268

Frequently Asked Questions on LCM of 17262 and 17268

1. What is the LCM of 17262 and 17268?

Answer: LCM of 17262 and 17268 is 49680036.

2. What are the Factors of 17262?

Answer: Factors of 17262 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631, 17262. There are 24 integers that are factors of 17262. The greatest factor of 17262 is 17262.

3. What are the Factors of 17268?

Answer: Factors of 17268 are 1, 2, 3, 4, 6, 12, 1439, 2878, 4317, 5756, 8634, 17268. There are 12 integers that are factors of 17268. The greatest factor of 17268 is 17268.

4. How to Find the LCM of 17262 and 17268?

Answer:

Least Common Multiple of 17262 and 17268 = 49680036

Step 1: Find the prime factorization of 17262

17262 = 2 x 3 x 3 x 7 x 137

Step 2: Find the prime factorization of 17268

17268 = 2 x 2 x 3 x 1439

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

LCM = 49680036 = 2 x 2 x 3 x 3 x 7 x 137 x 1439

Step 4: Therefore, the least common multiple of 17262 and 17268 is 49680036.