Least Common Multiple of 3058 and 3061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3058 and 3061 the smallest integer that is 9360538 that is divisible by both numbers.

Least Common Multiple (LCM) of 3058 and 3061 is 9360538.

LCM(3058,3061) = 9360538

LCM of 3058 and 3061

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

LCM of:
and

Least Common Multiple of 3058 and 3061

LCM of 3058 and 3061 is 9360538

Least common multiple can be found by multiplying the highest exponent prime factors of 3058 and 3061. First we will calculate the prime factors of 3058 and 3061.

Prime Factorization of 3058


2 3058
11 1529
139 139
1

Prime factors of 3058 are 2, 11,139. Prime factorization of 3058 in exponential form is:

3058 = 21×111×1391

Prime Factorization of 3061


3061 3061
1

Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:

3061 = 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 3058 and 3061.

LCM(3058,3061) = 21×111×1391×30611
LCM(3058,3061) = 9360538

Factors of 3058

List of positive integer factors of 3058 that divides 3058 without a remainder.

1, 2, 11, 22, 139, 278, 1529, 3058

Factors of 3061

List of positive integer factors of 3061 that divides 3061 without a remainder.

1, 3061

Least Common Multiple of 3058 and 3061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3058 and 3061, than apply into the LCM equation.

GCF(3058,3061) = 1
LCM(3058,3061) = ( 3058 × 3061) / 1
LCM(3058,3061) = 9360538 / 1
LCM(3058,3061) = 9360538

Properties of LCM 3058 and 3061

(i) The LCM of 3061 and 3058 is associative

LCM of 3058 and 3061 = LCM of 3061 and 3058

Related Least Common Multiples of 3058

Related Least Common Multiples of 3061

Frequently Asked Questions on LCM of 3058 and 3061

1. What is the LCM of 3058 and 3061?

Answer: LCM of 3058 and 3061 is 9360538.

2. What are the Factors of 3058?

Answer: Factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058. There are 8 integers that are factors of 3058. The greatest factor of 3058 is 3058.

3. What are the Factors of 3061?

Answer: Factors of 3061 are 1, 3061. There are 2 integers that are factors of 3061. The greatest factor of 3061 is 3061.

4. How to Find the LCM of 3058 and 3061?

Answer:

Least Common Multiple of 3058 and 3061 = 9360538

Step 1: Find the prime factorization of 3058

3058 = 2 x 11 x 139

Step 2: Find the prime factorization of 3061

3061 = 3061

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

LCM = 9360538 = 2 x 11 x 139 x 3061

Step 4: Therefore, the least common multiple of 3058 and 3061 is 9360538.