Least Common Multiple of 3058 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 3058 and 3066 the smallest integer that is 4687914 that is divisible by both numbers.

Least Common Multiple (LCM) of 3058 and 3066 is 4687914.

LCM(3058,3066) = 4687914

LCM of 3058 and 3066

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

LCM of:
and

Least Common Multiple of 3058 and 3066

LCM of 3058 and 3066 is 4687914

Least common multiple can be found by multiplying the highest exponent prime factors of 3058 and 3066. First we will calculate the prime factors of 3058 and 3066.

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 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 3058 and 3066.

LCM(3058,3066) = 21×31×71×111×731×1391
LCM(3058,3066) = 4687914

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 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 3058 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 3058 and 3066, than apply into the LCM equation.

GCF(3058,3066) = 2
LCM(3058,3066) = ( 3058 × 3066) / 2
LCM(3058,3066) = 9375828 / 2
LCM(3058,3066) = 4687914

Properties of LCM 3058 and 3066

(i) The LCM of 3066 and 3058 is associative

LCM of 3058 and 3066 = LCM of 3066 and 3058

Related Least Common Multiples of 3058

Related Least Common Multiples of 3066

Frequently Asked Questions on LCM of 3058 and 3066

1. What is the LCM of 3058 and 3066?

Answer: LCM of 3058 and 3066 is 4687914.

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 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 3058 and 3066?

Answer:

Least Common Multiple of 3058 and 3066 = 4687914

Step 1: Find the prime factorization of 3058

3058 = 2 x 11 x 139

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 = 4687914 = 2 x 3 x 7 x 11 x 73 x 139

Step 4: Therefore, the least common multiple of 3058 and 3066 is 4687914.