Least Common Multiple of 3062 and 3067

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 3067 the smallest integer that is 9391154 that is divisible by both numbers.

Least Common Multiple (LCM) of 3062 and 3067 is 9391154.

LCM(3062,3067) = 9391154

LCM of 3062 and 3067

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

LCM of:
and

Least Common Multiple of 3062 and 3067

LCM of 3062 and 3067 is 9391154

Least common multiple can be found by multiplying the highest exponent prime factors of 3062 and 3067. First we will calculate the prime factors of 3062 and 3067.

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 3067


3067 3067
1

Prime factors of 3067 are 3067. Prime factorization of 3067 in exponential form is:

3067 = 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 3062 and 3067.

LCM(3062,3067) = 21×15311×30671
LCM(3062,3067) = 9391154

Factors of 3062

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

1, 2, 1531, 3062

Factors of 3067

List of positive integer factors of 3067 that divides 3067 without a remainder.

1, 3067

Least Common Multiple of 3062 and 3067 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 3067, than apply into the LCM equation.

GCF(3062,3067) = 1
LCM(3062,3067) = ( 3062 × 3067) / 1
LCM(3062,3067) = 9391154 / 1
LCM(3062,3067) = 9391154

Properties of LCM 3062 and 3067

(i) The LCM of 3067 and 3062 is associative

LCM of 3062 and 3067 = LCM of 3067 and 3062

Related Least Common Multiples of 3062

Related Least Common Multiples of 3067

Frequently Asked Questions on LCM of 3062 and 3067

1. What is the LCM of 3062 and 3067?

Answer: LCM of 3062 and 3067 is 9391154.

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 3067?

Answer: Factors of 3067 are 1, 3067. There are 2 integers that are factors of 3067. The greatest factor of 3067 is 3067.

4. How to Find the LCM of 3062 and 3067?

Answer:

Least Common Multiple of 3062 and 3067 = 9391154

Step 1: Find the prime factorization of 3062

3062 = 2 x 1531

Step 2: Find the prime factorization of 3067

3067 = 3067

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

LCM = 9391154 = 2 x 1531 x 3067

Step 4: Therefore, the least common multiple of 3062 and 3067 is 9391154.