Least Common Multiple of 36092 and 36099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36092 and 36099 the smallest integer that is 186126444 that is divisible by both numbers.

Least Common Multiple (LCM) of 36092 and 36099 is 186126444.

LCM(36092,36099) = 186126444

LCM of 36092 and 36099

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

LCM of:
and

Least Common Multiple of 36092 and 36099

LCM of 36092 and 36099 is 186126444

Least common multiple can be found by multiplying the highest exponent prime factors of 36092 and 36099. First we will calculate the prime factors of 36092 and 36099.

Prime Factorization of 36092


2 36092
2 18046
7 9023
1289 1289
1

Prime factors of 36092 are 2, 7,1289. Prime factorization of 36092 in exponential form is:

36092 = 22×71×12891

Prime Factorization of 36099


3 36099
3 12033
3 4011
7 1337
191 191
1

Prime factors of 36099 are 3, 7,191. Prime factorization of 36099 in exponential form is:

36099 = 33×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 36092 and 36099.

LCM(36092,36099) = 22×33×71×1911×12891
LCM(36092,36099) = 186126444

Factors of 36092

List of positive integer factors of 36092 that divides 36092 without a remainder.

1, 2, 4, 7, 14, 28, 1289, 2578, 5156, 9023, 18046, 36092

Factors of 36099

List of positive integer factors of 36099 that divides 36099 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 191, 573, 1337, 1719, 4011, 5157, 12033, 36099

Least Common Multiple of 36092 and 36099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36092 and 36099, than apply into the LCM equation.

GCF(36092,36099) = 7
LCM(36092,36099) = ( 36092 × 36099) / 7
LCM(36092,36099) = 1302885108 / 7
LCM(36092,36099) = 186126444

Properties of LCM 36092 and 36099

(i) The LCM of 36099 and 36092 is associative

LCM of 36092 and 36099 = LCM of 36099 and 36092

Related Least Common Multiples of 36092

Related Least Common Multiples of 36099

Frequently Asked Questions on LCM of 36092 and 36099

1. What is the LCM of 36092 and 36099?

Answer: LCM of 36092 and 36099 is 186126444.

2. What are the Factors of 36092?

Answer: Factors of 36092 are 1, 2, 4, 7, 14, 28, 1289, 2578, 5156, 9023, 18046, 36092. There are 12 integers that are factors of 36092. The greatest factor of 36092 is 36092.

3. What are the Factors of 36099?

Answer: Factors of 36099 are 1, 3, 7, 9, 21, 27, 63, 189, 191, 573, 1337, 1719, 4011, 5157, 12033, 36099. There are 16 integers that are factors of 36099. The greatest factor of 36099 is 36099.

4. How to Find the LCM of 36092 and 36099?

Answer:

Least Common Multiple of 36092 and 36099 = 186126444

Step 1: Find the prime factorization of 36092

36092 = 2 x 2 x 7 x 1289

Step 2: Find the prime factorization of 36099

36099 = 3 x 3 x 3 x 7 x 191

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

LCM = 186126444 = 2 x 2 x 3 x 3 x 3 x 7 x 191 x 1289

Step 4: Therefore, the least common multiple of 36092 and 36099 is 186126444.