Least Common Multiple of 33188 and 33196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33188 and 33196 the smallest integer that is 275427212 that is divisible by both numbers.

Least Common Multiple (LCM) of 33188 and 33196 is 275427212.

LCM(33188,33196) = 275427212

LCM of 33188 and 33196

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

LCM of:
and

Least Common Multiple of 33188 and 33196

LCM of 33188 and 33196 is 275427212

Least common multiple can be found by multiplying the highest exponent prime factors of 33188 and 33196. First we will calculate the prime factors of 33188 and 33196.

Prime Factorization of 33188


2 33188
2 16594
8297 8297
1

Prime factors of 33188 are 2,8297. Prime factorization of 33188 in exponential form is:

33188 = 22×82971

Prime Factorization of 33196


2 33196
2 16598
43 8299
193 193
1

Prime factors of 33196 are 2, 43,193. Prime factorization of 33196 in exponential form is:

33196 = 22×431×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 33188 and 33196.

LCM(33188,33196) = 22×431×1931×82971
LCM(33188,33196) = 275427212

Factors of 33188

List of positive integer factors of 33188 that divides 33188 without a remainder.

1, 2, 4, 8297, 16594, 33188

Factors of 33196

List of positive integer factors of 33196 that divides 33196 without a remainder.

1, 2, 4, 43, 86, 172, 193, 386, 772, 8299, 16598, 33196

Least Common Multiple of 33188 and 33196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33188 and 33196, than apply into the LCM equation.

GCF(33188,33196) = 4
LCM(33188,33196) = ( 33188 × 33196) / 4
LCM(33188,33196) = 1101708848 / 4
LCM(33188,33196) = 275427212

Properties of LCM 33188 and 33196

(i) The LCM of 33196 and 33188 is associative

LCM of 33188 and 33196 = LCM of 33196 and 33188

Related Least Common Multiples of 33188

Related Least Common Multiples of 33196

Frequently Asked Questions on LCM of 33188 and 33196

1. What is the LCM of 33188 and 33196?

Answer: LCM of 33188 and 33196 is 275427212.

2. What are the Factors of 33188?

Answer: Factors of 33188 are 1, 2, 4, 8297, 16594, 33188. There are 6 integers that are factors of 33188. The greatest factor of 33188 is 33188.

3. What are the Factors of 33196?

Answer: Factors of 33196 are 1, 2, 4, 43, 86, 172, 193, 386, 772, 8299, 16598, 33196. There are 12 integers that are factors of 33196. The greatest factor of 33196 is 33196.

4. How to Find the LCM of 33188 and 33196?

Answer:

Least Common Multiple of 33188 and 33196 = 275427212

Step 1: Find the prime factorization of 33188

33188 = 2 x 2 x 8297

Step 2: Find the prime factorization of 33196

33196 = 2 x 2 x 43 x 193

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

LCM = 275427212 = 2 x 2 x 43 x 193 x 8297

Step 4: Therefore, the least common multiple of 33188 and 33196 is 275427212.