Least Common Multiple of 3058 and 3065

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 3065 the smallest integer that is 9372770 that is divisible by both numbers.

Least Common Multiple (LCM) of 3058 and 3065 is 9372770.

LCM(3058,3065) = 9372770

LCM of 3058 and 3065

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

LCM of:
and

Least Common Multiple of 3058 and 3065

LCM of 3058 and 3065 is 9372770

Least common multiple can be found by multiplying the highest exponent prime factors of 3058 and 3065. First we will calculate the prime factors of 3058 and 3065.

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 3065


5 3065
613 613
1

Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:

3065 = 51×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 3058 and 3065.

LCM(3058,3065) = 21×51×111×1391×6131
LCM(3058,3065) = 9372770

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 3065

List of positive integer factors of 3065 that divides 3065 without a remainder.

1, 5, 613, 3065

Least Common Multiple of 3058 and 3065 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 3065, than apply into the LCM equation.

GCF(3058,3065) = 1
LCM(3058,3065) = ( 3058 × 3065) / 1
LCM(3058,3065) = 9372770 / 1
LCM(3058,3065) = 9372770

Properties of LCM 3058 and 3065

(i) The LCM of 3065 and 3058 is associative

LCM of 3058 and 3065 = LCM of 3065 and 3058

Related Least Common Multiples of 3058

Related Least Common Multiples of 3065

Frequently Asked Questions on LCM of 3058 and 3065

1. What is the LCM of 3058 and 3065?

Answer: LCM of 3058 and 3065 is 9372770.

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 3065?

Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.

4. How to Find the LCM of 3058 and 3065?

Answer:

Least Common Multiple of 3058 and 3065 = 9372770

Step 1: Find the prime factorization of 3058

3058 = 2 x 11 x 139

Step 2: Find the prime factorization of 3065

3065 = 5 x 613

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

LCM = 9372770 = 2 x 5 x 11 x 139 x 613

Step 4: Therefore, the least common multiple of 3058 and 3065 is 9372770.