Least Common Multiple of 3060 and 3062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3060 and 3062 the smallest integer that is 4684860 that is divisible by both numbers.

Least Common Multiple (LCM) of 3060 and 3062 is 4684860.

LCM(3060,3062) = 4684860

LCM of 3060 and 3062

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

LCM of:
and

Least Common Multiple of 3060 and 3062

LCM of 3060 and 3062 is 4684860

Least common multiple can be found by multiplying the highest exponent prime factors of 3060 and 3062. First we will calculate the prime factors of 3060 and 3062.

Prime Factorization of 3060


2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 3060 are 2, 3, 5,17. Prime factorization of 3060 in exponential form is:

3060 = 22×32×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3060 and 3062.

LCM(3060,3062) = 22×32×51×171×15311
LCM(3060,3062) = 4684860

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060

Factors of 3062

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

1, 2, 1531, 3062

Least Common Multiple of 3060 and 3062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3060 and 3062, than apply into the LCM equation.

GCF(3060,3062) = 2
LCM(3060,3062) = ( 3060 × 3062) / 2
LCM(3060,3062) = 9369720 / 2
LCM(3060,3062) = 4684860

Properties of LCM 3060 and 3062

(i) The LCM of 3062 and 3060 is associative

LCM of 3060 and 3062 = LCM of 3062 and 3060

Related Least Common Multiples of 3060

Related Least Common Multiples of 3062

Frequently Asked Questions on LCM of 3060 and 3062

1. What is the LCM of 3060 and 3062?

Answer: LCM of 3060 and 3062 is 4684860.

2. What are the Factors of 3060?

Answer: Factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060. There are 36 integers that are factors of 3060. The greatest factor of 3060 is 3060.

3. 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.

4. How to Find the LCM of 3060 and 3062?

Answer:

Least Common Multiple of 3060 and 3062 = 4684860

Step 1: Find the prime factorization of 3060

3060 = 2 x 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 3062

3062 = 2 x 1531

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

LCM = 4684860 = 2 x 2 x 3 x 3 x 5 x 17 x 1531

Step 4: Therefore, the least common multiple of 3060 and 3062 is 4684860.