Least Common Multiple of 3053 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 3053 and 3061 the smallest integer that is 9345233 that is divisible by both numbers.

Least Common Multiple (LCM) of 3053 and 3061 is 9345233.

LCM(3053,3061) = 9345233

LCM of 3053 and 3061

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

LCM of:
and

Least Common Multiple of 3053 and 3061

LCM of 3053 and 3061 is 9345233

Least common multiple can be found by multiplying the highest exponent prime factors of 3053 and 3061. First we will calculate the prime factors of 3053 and 3061.

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 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 3053 and 3061.

LCM(3053,3061) = 431×711×30611
LCM(3053,3061) = 9345233

Factors of 3053

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

1, 43, 71, 3053

Factors of 3061

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

1, 3061

Least Common Multiple of 3053 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 3053 and 3061, than apply into the LCM equation.

GCF(3053,3061) = 1
LCM(3053,3061) = ( 3053 × 3061) / 1
LCM(3053,3061) = 9345233 / 1
LCM(3053,3061) = 9345233

Properties of LCM 3053 and 3061

(i) The LCM of 3061 and 3053 is associative

LCM of 3053 and 3061 = LCM of 3061 and 3053

Related Least Common Multiples of 3053

Related Least Common Multiples of 3061

Frequently Asked Questions on LCM of 3053 and 3061

1. What is the LCM of 3053 and 3061?

Answer: LCM of 3053 and 3061 is 9345233.

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 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 3053 and 3061?

Answer:

Least Common Multiple of 3053 and 3061 = 9345233

Step 1: Find the prime factorization of 3053

3053 = 43 x 71

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 = 9345233 = 43 x 71 x 3061

Step 4: Therefore, the least common multiple of 3053 and 3061 is 9345233.