Least Common Multiple of 33172 and 33176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33172 and 33176 the smallest integer that is 275128568 that is divisible by both numbers.

Least Common Multiple (LCM) of 33172 and 33176 is 275128568.

LCM(33172,33176) = 275128568

LCM of 33172 and 33176

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

LCM of:
and

Least Common Multiple of 33172 and 33176

LCM of 33172 and 33176 is 275128568

Least common multiple can be found by multiplying the highest exponent prime factors of 33172 and 33176. First we will calculate the prime factors of 33172 and 33176.

Prime Factorization of 33172


2 33172
2 16586
8293 8293
1

Prime factors of 33172 are 2,8293. Prime factorization of 33172 in exponential form is:

33172 = 22×82931

Prime Factorization of 33176


2 33176
2 16588
2 8294
11 4147
13 377
29 29
1

Prime factors of 33176 are 2, 11, 13,29. Prime factorization of 33176 in exponential form is:

33176 = 23×111×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 33172 and 33176.

LCM(33172,33176) = 23×111×131×291×82931
LCM(33172,33176) = 275128568

Factors of 33172

List of positive integer factors of 33172 that divides 33172 without a remainder.

1, 2, 4, 8293, 16586, 33172

Factors of 33176

List of positive integer factors of 33176 that divides 33176 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 232, 286, 319, 377, 572, 638, 754, 1144, 1276, 1508, 2552, 3016, 4147, 8294, 16588, 33176

Least Common Multiple of 33172 and 33176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33172 and 33176, than apply into the LCM equation.

GCF(33172,33176) = 4
LCM(33172,33176) = ( 33172 × 33176) / 4
LCM(33172,33176) = 1100514272 / 4
LCM(33172,33176) = 275128568

Properties of LCM 33172 and 33176

(i) The LCM of 33176 and 33172 is associative

LCM of 33172 and 33176 = LCM of 33176 and 33172

Related Least Common Multiples of 33172

Related Least Common Multiples of 33176

Frequently Asked Questions on LCM of 33172 and 33176

1. What is the LCM of 33172 and 33176?

Answer: LCM of 33172 and 33176 is 275128568.

2. What are the Factors of 33172?

Answer: Factors of 33172 are 1, 2, 4, 8293, 16586, 33172. There are 6 integers that are factors of 33172. The greatest factor of 33172 is 33172.

3. What are the Factors of 33176?

Answer: Factors of 33176 are 1, 2, 4, 8, 11, 13, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 232, 286, 319, 377, 572, 638, 754, 1144, 1276, 1508, 2552, 3016, 4147, 8294, 16588, 33176. There are 32 integers that are factors of 33176. The greatest factor of 33176 is 33176.

4. How to Find the LCM of 33172 and 33176?

Answer:

Least Common Multiple of 33172 and 33176 = 275128568

Step 1: Find the prime factorization of 33172

33172 = 2 x 2 x 8293

Step 2: Find the prime factorization of 33176

33176 = 2 x 2 x 2 x 11 x 13 x 29

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

LCM = 275128568 = 2 x 2 x 2 x 11 x 13 x 29 x 8293

Step 4: Therefore, the least common multiple of 33172 and 33176 is 275128568.