Least Common Multiple of 3069 and 3075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3069 and 3075 the smallest integer that is 3145725 that is divisible by both numbers.

Least Common Multiple (LCM) of 3069 and 3075 is 3145725.

LCM(3069,3075) = 3145725

LCM of 3069 and 3075

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

LCM of:
and

Least Common Multiple of 3069 and 3075

LCM of 3069 and 3075 is 3145725

Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3075. First we will calculate the prime factors of 3069 and 3075.

Prime Factorization of 3069


3 3069
3 1023
11 341
31 31
1

Prime factors of 3069 are 3, 11,31. Prime factorization of 3069 in exponential form is:

3069 = 32×111×311

Prime Factorization of 3075


3 3075
5 1025
5 205
41 41
1

Prime factors of 3075 are 3, 5,41. Prime factorization of 3075 in exponential form is:

3075 = 31×52×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3075.

LCM(3069,3075) = 32×52×111×311×411
LCM(3069,3075) = 3145725

Factors of 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075

Least Common Multiple of 3069 and 3075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3075, than apply into the LCM equation.

GCF(3069,3075) = 3
LCM(3069,3075) = ( 3069 × 3075) / 3
LCM(3069,3075) = 9437175 / 3
LCM(3069,3075) = 3145725

Properties of LCM 3069 and 3075

(i) The LCM of 3075 and 3069 is associative

LCM of 3069 and 3075 = LCM of 3075 and 3069

Related Least Common Multiples of 3069

Related Least Common Multiples of 3075

Frequently Asked Questions on LCM of 3069 and 3075

1. What is the LCM of 3069 and 3075?

Answer: LCM of 3069 and 3075 is 3145725.

2. What are the Factors of 3069?

Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.

3. What are the Factors of 3075?

Answer: Factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075. There are 12 integers that are factors of 3075. The greatest factor of 3075 is 3075.

4. How to Find the LCM of 3069 and 3075?

Answer:

Least Common Multiple of 3069 and 3075 = 3145725

Step 1: Find the prime factorization of 3069

3069 = 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

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

LCM = 3145725 = 3 x 3 x 5 x 5 x 11 x 31 x 41

Step 4: Therefore, the least common multiple of 3069 and 3075 is 3145725.