Least Common Multiple of 10266 and 10272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10266 and 10272 the smallest integer that is 17575392 that is divisible by both numbers.

Least Common Multiple (LCM) of 10266 and 10272 is 17575392.

LCM(10266,10272) = 17575392

LCM of 10266 and 10272

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

LCM of:
and

Least Common Multiple of 10266 and 10272

LCM of 10266 and 10272 is 17575392

Least common multiple can be found by multiplying the highest exponent prime factors of 10266 and 10272. First we will calculate the prime factors of 10266 and 10272.

Prime Factorization of 10266


2 10266
3 5133
29 1711
59 59
1

Prime factors of 10266 are 2, 3, 29,59. Prime factorization of 10266 in exponential form is:

10266 = 21×31×291×591

Prime Factorization of 10272


2 10272
2 5136
2 2568
2 1284
2 642
3 321
107 107
1

Prime factors of 10272 are 2, 3,107. Prime factorization of 10272 in exponential form is:

10272 = 25×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 10266 and 10272.

LCM(10266,10272) = 25×31×291×591×1071
LCM(10266,10272) = 17575392

Factors of 10266

List of positive integer factors of 10266 that divides 10266 without a remainder.

1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266

Factors of 10272

List of positive integer factors of 10272 that divides 10272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 10272

Least Common Multiple of 10266 and 10272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10266 and 10272, than apply into the LCM equation.

GCF(10266,10272) = 6
LCM(10266,10272) = ( 10266 × 10272) / 6
LCM(10266,10272) = 105452352 / 6
LCM(10266,10272) = 17575392

Properties of LCM 10266 and 10272

(i) The LCM of 10272 and 10266 is associative

LCM of 10266 and 10272 = LCM of 10272 and 10266

Related Least Common Multiples of 10266

Related Least Common Multiples of 10272

Frequently Asked Questions on LCM of 10266 and 10272

1. What is the LCM of 10266 and 10272?

Answer: LCM of 10266 and 10272 is 17575392.

2. What are the Factors of 10266?

Answer: Factors of 10266 are 1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266. There are 16 integers that are factors of 10266. The greatest factor of 10266 is 10266.

3. What are the Factors of 10272?

Answer: Factors of 10272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 10272. There are 24 integers that are factors of 10272. The greatest factor of 10272 is 10272.

4. How to Find the LCM of 10266 and 10272?

Answer:

Least Common Multiple of 10266 and 10272 = 17575392

Step 1: Find the prime factorization of 10266

10266 = 2 x 3 x 29 x 59

Step 2: Find the prime factorization of 10272

10272 = 2 x 2 x 2 x 2 x 2 x 3 x 107

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

LCM = 17575392 = 2 x 2 x 2 x 2 x 2 x 3 x 29 x 59 x 107

Step 4: Therefore, the least common multiple of 10266 and 10272 is 17575392.