Least Common Multiple of 33180 and 33187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33180 and 33187 the smallest integer that is 157306380 that is divisible by both numbers.

Least Common Multiple (LCM) of 33180 and 33187 is 157306380.

LCM(33180,33187) = 157306380

LCM of 33180 and 33187

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

LCM of:
and

Least Common Multiple of 33180 and 33187

LCM of 33180 and 33187 is 157306380

Least common multiple can be found by multiplying the highest exponent prime factors of 33180 and 33187. First we will calculate the prime factors of 33180 and 33187.

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

Prime Factorization of 33187


7 33187
11 4741
431 431
1

Prime factors of 33187 are 7, 11,431. Prime factorization of 33187 in exponential form is:

33187 = 71×111×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 33180 and 33187.

LCM(33180,33187) = 22×31×51×71×111×791×4311
LCM(33180,33187) = 157306380

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

Factors of 33187

List of positive integer factors of 33187 that divides 33187 without a remainder.

1, 7, 11, 77, 431, 3017, 4741, 33187

Least Common Multiple of 33180 and 33187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33180 and 33187, than apply into the LCM equation.

GCF(33180,33187) = 7
LCM(33180,33187) = ( 33180 × 33187) / 7
LCM(33180,33187) = 1101144660 / 7
LCM(33180,33187) = 157306380

Properties of LCM 33180 and 33187

(i) The LCM of 33187 and 33180 is associative

LCM of 33180 and 33187 = LCM of 33187 and 33180

Related Least Common Multiples of 33180

Related Least Common Multiples of 33187

Frequently Asked Questions on LCM of 33180 and 33187

1. What is the LCM of 33180 and 33187?

Answer: LCM of 33180 and 33187 is 157306380.

2. 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.

3. What are the Factors of 33187?

Answer: Factors of 33187 are 1, 7, 11, 77, 431, 3017, 4741, 33187. There are 8 integers that are factors of 33187. The greatest factor of 33187 is 33187.

4. How to Find the LCM of 33180 and 33187?

Answer:

Least Common Multiple of 33180 and 33187 = 157306380

Step 1: Find the prime factorization of 33180

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

Step 2: Find the prime factorization of 33187

33187 = 7 x 11 x 431

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

LCM = 157306380 = 2 x 2 x 3 x 5 x 7 x 11 x 79 x 431

Step 4: Therefore, the least common multiple of 33180 and 33187 is 157306380.