Least Common Multiple of 3063 and 3069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3063 and 3069 the smallest integer that is 3133449 that is divisible by both numbers.

Least Common Multiple (LCM) of 3063 and 3069 is 3133449.

LCM(3063,3069) = 3133449

LCM of 3063 and 3069

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

LCM of:
and

Least Common Multiple of 3063 and 3069

LCM of 3063 and 3069 is 3133449

Least common multiple can be found by multiplying the highest exponent prime factors of 3063 and 3069. First we will calculate the prime factors of 3063 and 3069.

Prime Factorization of 3063


3 3063
1021 1021
1

Prime factors of 3063 are 3,1021. Prime factorization of 3063 in exponential form is:

3063 = 31×10211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3063 and 3069.

LCM(3063,3069) = 32×111×311×10211
LCM(3063,3069) = 3133449

Factors of 3063

List of positive integer factors of 3063 that divides 3063 without a remainder.

1, 3, 1021, 3063

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

Least Common Multiple of 3063 and 3069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3063 and 3069, than apply into the LCM equation.

GCF(3063,3069) = 3
LCM(3063,3069) = ( 3063 × 3069) / 3
LCM(3063,3069) = 9400347 / 3
LCM(3063,3069) = 3133449

Properties of LCM 3063 and 3069

(i) The LCM of 3069 and 3063 is associative

LCM of 3063 and 3069 = LCM of 3069 and 3063

Related Least Common Multiples of 3063

Related Least Common Multiples of 3069

Frequently Asked Questions on LCM of 3063 and 3069

1. What is the LCM of 3063 and 3069?

Answer: LCM of 3063 and 3069 is 3133449.

2. What are the Factors of 3063?

Answer: Factors of 3063 are 1, 3, 1021, 3063. There are 4 integers that are factors of 3063. The greatest factor of 3063 is 3063.

3. 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.

4. How to Find the LCM of 3063 and 3069?

Answer:

Least Common Multiple of 3063 and 3069 = 3133449

Step 1: Find the prime factorization of 3063

3063 = 3 x 1021

Step 2: Find the prime factorization of 3069

3069 = 3 x 3 x 11 x 31

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

LCM = 3133449 = 3 x 3 x 11 x 31 x 1021

Step 4: Therefore, the least common multiple of 3063 and 3069 is 3133449.