Least Common Multiple of 3062 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 3062 and 3069 the smallest integer that is 9397278 that is divisible by both numbers.

Least Common Multiple (LCM) of 3062 and 3069 is 9397278.

LCM(3062,3069) = 9397278

LCM of 3062 and 3069

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

LCM of:
and

Least Common Multiple of 3062 and 3069

LCM of 3062 and 3069 is 9397278

Least common multiple can be found by multiplying the highest exponent prime factors of 3062 and 3069. First we will calculate the prime factors of 3062 and 3069.

Prime Factorization of 3062


2 3062
1531 1531
1

Prime factors of 3062 are 2,1531. Prime factorization of 3062 in exponential form is:

3062 = 21×15311

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 3062 and 3069.

LCM(3062,3069) = 21×32×111×311×15311
LCM(3062,3069) = 9397278

Factors of 3062

List of positive integer factors of 3062 that divides 3062 without a remainder.

1, 2, 1531, 3062

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 3062 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 3062 and 3069, than apply into the LCM equation.

GCF(3062,3069) = 1
LCM(3062,3069) = ( 3062 × 3069) / 1
LCM(3062,3069) = 9397278 / 1
LCM(3062,3069) = 9397278

Properties of LCM 3062 and 3069

(i) The LCM of 3069 and 3062 is associative

LCM of 3062 and 3069 = LCM of 3069 and 3062

Related Least Common Multiples of 3062

Related Least Common Multiples of 3069

Frequently Asked Questions on LCM of 3062 and 3069

1. What is the LCM of 3062 and 3069?

Answer: LCM of 3062 and 3069 is 9397278.

2. What are the Factors of 3062?

Answer: Factors of 3062 are 1, 2, 1531, 3062. There are 4 integers that are factors of 3062. The greatest factor of 3062 is 3062.

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 3062 and 3069?

Answer:

Least Common Multiple of 3062 and 3069 = 9397278

Step 1: Find the prime factorization of 3062

3062 = 2 x 1531

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 = 9397278 = 2 x 3 x 3 x 11 x 31 x 1531

Step 4: Therefore, the least common multiple of 3062 and 3069 is 9397278.