Least Common Multiple of 33176 and 33180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33176 and 33180 the smallest integer that is 275194920 that is divisible by both numbers.

Least Common Multiple (LCM) of 33176 and 33180 is 275194920.

LCM(33176,33180) = 275194920

LCM of 33176 and 33180

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

LCM of:
and

Least Common Multiple of 33176 and 33180

LCM of 33176 and 33180 is 275194920

Least common multiple can be found by multiplying the highest exponent prime factors of 33176 and 33180. First we will calculate the prime factors of 33176 and 33180.

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

Prime Factorization of 33180


2 33180
2 16590
3 8295
5 2765
7 553
79 79
1

Prime factors of 33180 are 2, 3, 5, 7,79. Prime factorization of 33180 in exponential form is:

33180 = 22×31×51×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 33176 and 33180.

LCM(33176,33180) = 23×31×51×71×111×131×291×791
LCM(33176,33180) = 275194920

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

Factors of 33180

List of positive integer factors of 33180 that divides 33180 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 79, 84, 105, 140, 158, 210, 237, 316, 395, 420, 474, 553, 790, 948, 1106, 1185, 1580, 1659, 2212, 2370, 2765, 3318, 4740, 5530, 6636, 8295, 11060, 16590, 33180

Least Common Multiple of 33176 and 33180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33176 and 33180, than apply into the LCM equation.

GCF(33176,33180) = 4
LCM(33176,33180) = ( 33176 × 33180) / 4
LCM(33176,33180) = 1100779680 / 4
LCM(33176,33180) = 275194920

Properties of LCM 33176 and 33180

(i) The LCM of 33180 and 33176 is associative

LCM of 33176 and 33180 = LCM of 33180 and 33176

Related Least Common Multiples of 33176

Related Least Common Multiples of 33180

Frequently Asked Questions on LCM of 33176 and 33180

1. What is the LCM of 33176 and 33180?

Answer: LCM of 33176 and 33180 is 275194920.

2. 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.

3. What are the Factors of 33180?

Answer: Factors of 33180 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 79, 84, 105, 140, 158, 210, 237, 316, 395, 420, 474, 553, 790, 948, 1106, 1185, 1580, 1659, 2212, 2370, 2765, 3318, 4740, 5530, 6636, 8295, 11060, 16590, 33180. There are 48 integers that are factors of 33180. The greatest factor of 33180 is 33180.

4. How to Find the LCM of 33176 and 33180?

Answer:

Least Common Multiple of 33176 and 33180 = 275194920

Step 1: Find the prime factorization of 33176

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

Step 2: Find the prime factorization of 33180

33180 = 2 x 2 x 3 x 5 x 7 x 79

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

LCM = 275194920 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 29 x 79

Step 4: Therefore, the least common multiple of 33176 and 33180 is 275194920.