Least Common Multiple of 3053 and 3057

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 3057 the smallest integer that is 9333021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3053 and 3057 is 9333021.

LCM(3053,3057) = 9333021

LCM of 3053 and 3057

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

LCM of:
and

Least Common Multiple of 3053 and 3057

LCM of 3053 and 3057 is 9333021

Least common multiple can be found by multiplying the highest exponent prime factors of 3053 and 3057. First we will calculate the prime factors of 3053 and 3057.

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 3057


3 3057
1019 1019
1

Prime factors of 3057 are 3,1019. Prime factorization of 3057 in exponential form is:

3057 = 31×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 3053 and 3057.

LCM(3053,3057) = 31×431×711×10191
LCM(3053,3057) = 9333021

Factors of 3053

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

1, 43, 71, 3053

Factors of 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1, 3, 1019, 3057

Least Common Multiple of 3053 and 3057 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 3057, than apply into the LCM equation.

GCF(3053,3057) = 1
LCM(3053,3057) = ( 3053 × 3057) / 1
LCM(3053,3057) = 9333021 / 1
LCM(3053,3057) = 9333021

Properties of LCM 3053 and 3057

(i) The LCM of 3057 and 3053 is associative

LCM of 3053 and 3057 = LCM of 3057 and 3053

Related Least Common Multiples of 3053

Related Least Common Multiples of 3057

Frequently Asked Questions on LCM of 3053 and 3057

1. What is the LCM of 3053 and 3057?

Answer: LCM of 3053 and 3057 is 9333021.

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 3057?

Answer: Factors of 3057 are 1, 3, 1019, 3057. There are 4 integers that are factors of 3057. The greatest factor of 3057 is 3057.

4. How to Find the LCM of 3053 and 3057?

Answer:

Least Common Multiple of 3053 and 3057 = 9333021

Step 1: Find the prime factorization of 3053

3053 = 43 x 71

Step 2: Find the prime factorization of 3057

3057 = 3 x 1019

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

LCM = 9333021 = 3 x 43 x 71 x 1019

Step 4: Therefore, the least common multiple of 3053 and 3057 is 9333021.