Least Common Multiple of 3053 and 3058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3053 and 3058 the smallest integer that is 9336074 that is divisible by both numbers.

Least Common Multiple (LCM) of 3053 and 3058 is 9336074.

LCM(3053,3058) = 9336074

LCM of 3053 and 3058

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

LCM of:
and

Least Common Multiple of 3053 and 3058

LCM of 3053 and 3058 is 9336074

Least common multiple can be found by multiplying the highest exponent prime factors of 3053 and 3058. First we will calculate the prime factors of 3053 and 3058.

Prime Factorization of 3053


43 3053
71 71
1

Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:

3053 = 431×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3053 and 3058.

LCM(3053,3058) = 21×111×431×711×1391
LCM(3053,3058) = 9336074

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1, 43, 71, 3053

Factors of 3058

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

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

Least Common Multiple of 3053 and 3058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3053 and 3058, than apply into the LCM equation.

GCF(3053,3058) = 1
LCM(3053,3058) = ( 3053 × 3058) / 1
LCM(3053,3058) = 9336074 / 1
LCM(3053,3058) = 9336074

Properties of LCM 3053 and 3058

(i) The LCM of 3058 and 3053 is associative

LCM of 3053 and 3058 = LCM of 3058 and 3053

Related Least Common Multiples of 3053

Related Least Common Multiples of 3058

Frequently Asked Questions on LCM of 3053 and 3058

1. What is the LCM of 3053 and 3058?

Answer: LCM of 3053 and 3058 is 9336074.

2. What are the Factors of 3053?

Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.

3. 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.

4. How to Find the LCM of 3053 and 3058?

Answer:

Least Common Multiple of 3053 and 3058 = 9336074

Step 1: Find the prime factorization of 3053

3053 = 43 x 71

Step 2: Find the prime factorization of 3058

3058 = 2 x 11 x 139

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

LCM = 9336074 = 2 x 11 x 43 x 71 x 139

Step 4: Therefore, the least common multiple of 3053 and 3058 is 9336074.