Least Common Multiple of 3099 and 3105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3099 and 3105 the smallest integer that is 3207465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3099 and 3105 is 3207465.

LCM(3099,3105) = 3207465

LCM of 3099 and 3105

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

LCM of:
and

Least Common Multiple of 3099 and 3105

LCM of 3099 and 3105 is 3207465

Least common multiple can be found by multiplying the highest exponent prime factors of 3099 and 3105. First we will calculate the prime factors of 3099 and 3105.

Prime Factorization of 3099


3 3099
1033 1033
1

Prime factors of 3099 are 3,1033. Prime factorization of 3099 in exponential form is:

3099 = 31×10331

Prime Factorization of 3105


3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 3105 are 3, 5,23. Prime factorization of 3105 in exponential form is:

3105 = 33×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3099 and 3105.

LCM(3099,3105) = 33×51×231×10331
LCM(3099,3105) = 3207465

Factors of 3099

List of positive integer factors of 3099 that divides 3099 without a remainder.

1, 3, 1033, 3099

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105

Least Common Multiple of 3099 and 3105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3099 and 3105, than apply into the LCM equation.

GCF(3099,3105) = 3
LCM(3099,3105) = ( 3099 × 3105) / 3
LCM(3099,3105) = 9622395 / 3
LCM(3099,3105) = 3207465

Properties of LCM 3099 and 3105

(i) The LCM of 3105 and 3099 is associative

LCM of 3099 and 3105 = LCM of 3105 and 3099

Related Least Common Multiples of 3099

Related Least Common Multiples of 3105

Frequently Asked Questions on LCM of 3099 and 3105

1. What is the LCM of 3099 and 3105?

Answer: LCM of 3099 and 3105 is 3207465.

2. What are the Factors of 3099?

Answer: Factors of 3099 are 1, 3, 1033, 3099. There are 4 integers that are factors of 3099. The greatest factor of 3099 is 3099.

3. What are the Factors of 3105?

Answer: Factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105. There are 16 integers that are factors of 3105. The greatest factor of 3105 is 3105.

4. How to Find the LCM of 3099 and 3105?

Answer:

Least Common Multiple of 3099 and 3105 = 3207465

Step 1: Find the prime factorization of 3099

3099 = 3 x 1033

Step 2: Find the prime factorization of 3105

3105 = 3 x 3 x 3 x 5 x 23

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

LCM = 3207465 = 3 x 3 x 3 x 5 x 23 x 1033

Step 4: Therefore, the least common multiple of 3099 and 3105 is 3207465.