Least Common Multiple of 3062 and 3066

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 3066 the smallest integer that is 4694046 that is divisible by both numbers.

Least Common Multiple (LCM) of 3062 and 3066 is 4694046.

LCM(3062,3066) = 4694046

LCM of 3062 and 3066

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

LCM of:
and

Least Common Multiple of 3062 and 3066

LCM of 3062 and 3066 is 4694046

Least common multiple can be found by multiplying the highest exponent prime factors of 3062 and 3066. First we will calculate the prime factors of 3062 and 3066.

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 3066


2 3066
3 1533
7 511
73 73
1

Prime factors of 3066 are 2, 3, 7,73. Prime factorization of 3066 in exponential form is:

3066 = 21×31×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3062 and 3066.

LCM(3062,3066) = 21×31×71×731×15311
LCM(3062,3066) = 4694046

Factors of 3062

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

1, 2, 1531, 3062

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066

Least Common Multiple of 3062 and 3066 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 3066, than apply into the LCM equation.

GCF(3062,3066) = 2
LCM(3062,3066) = ( 3062 × 3066) / 2
LCM(3062,3066) = 9388092 / 2
LCM(3062,3066) = 4694046

Properties of LCM 3062 and 3066

(i) The LCM of 3066 and 3062 is associative

LCM of 3062 and 3066 = LCM of 3066 and 3062

Related Least Common Multiples of 3062

Related Least Common Multiples of 3066

Frequently Asked Questions on LCM of 3062 and 3066

1. What is the LCM of 3062 and 3066?

Answer: LCM of 3062 and 3066 is 4694046.

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 3066?

Answer: Factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066. There are 16 integers that are factors of 3066. The greatest factor of 3066 is 3066.

4. How to Find the LCM of 3062 and 3066?

Answer:

Least Common Multiple of 3062 and 3066 = 4694046

Step 1: Find the prime factorization of 3062

3062 = 2 x 1531

Step 2: Find the prime factorization of 3066

3066 = 2 x 3 x 7 x 73

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

LCM = 4694046 = 2 x 3 x 7 x 73 x 1531

Step 4: Therefore, the least common multiple of 3062 and 3066 is 4694046.