Least Common Multiple of 33150 and 33155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33150 and 33155 the smallest integer that is 219817650 that is divisible by both numbers.

Least Common Multiple (LCM) of 33150 and 33155 is 219817650.

LCM(33150,33155) = 219817650

LCM of 33150 and 33155

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

LCM of:
and

Least Common Multiple of 33150 and 33155

LCM of 33150 and 33155 is 219817650

Least common multiple can be found by multiplying the highest exponent prime factors of 33150 and 33155. First we will calculate the prime factors of 33150 and 33155.

Prime Factorization of 33150


2 33150
3 16575
5 5525
5 1105
13 221
17 17
1

Prime factors of 33150 are 2, 3, 5, 13,17. Prime factorization of 33150 in exponential form is:

33150 = 21×31×52×131×171

Prime Factorization of 33155


5 33155
19 6631
349 349
1

Prime factors of 33155 are 5, 19,349. Prime factorization of 33155 in exponential form is:

33155 = 51×191×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 33150 and 33155.

LCM(33150,33155) = 21×31×52×131×171×191×3491
LCM(33150,33155) = 219817650

Factors of 33150

List of positive integer factors of 33150 that divides 33150 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575, 33150

Factors of 33155

List of positive integer factors of 33155 that divides 33155 without a remainder.

1, 5, 19, 95, 349, 1745, 6631, 33155

Least Common Multiple of 33150 and 33155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33150 and 33155, than apply into the LCM equation.

GCF(33150,33155) = 5
LCM(33150,33155) = ( 33150 × 33155) / 5
LCM(33150,33155) = 1099088250 / 5
LCM(33150,33155) = 219817650

Properties of LCM 33150 and 33155

(i) The LCM of 33155 and 33150 is associative

LCM of 33150 and 33155 = LCM of 33155 and 33150

Related Least Common Multiples of 33150

Related Least Common Multiples of 33155

Frequently Asked Questions on LCM of 33150 and 33155

1. What is the LCM of 33150 and 33155?

Answer: LCM of 33150 and 33155 is 219817650.

2. What are the Factors of 33150?

Answer: Factors of 33150 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575, 33150. There are 48 integers that are factors of 33150. The greatest factor of 33150 is 33150.

3. What are the Factors of 33155?

Answer: Factors of 33155 are 1, 5, 19, 95, 349, 1745, 6631, 33155. There are 8 integers that are factors of 33155. The greatest factor of 33155 is 33155.

4. How to Find the LCM of 33150 and 33155?

Answer:

Least Common Multiple of 33150 and 33155 = 219817650

Step 1: Find the prime factorization of 33150

33150 = 2 x 3 x 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 33155

33155 = 5 x 19 x 349

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

LCM = 219817650 = 2 x 3 x 5 x 5 x 13 x 17 x 19 x 349

Step 4: Therefore, the least common multiple of 33150 and 33155 is 219817650.