Least Common Multiple of 6053 and 6060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6053 and 6060 the smallest integer that is 36681180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6053 and 6060 is 36681180.

LCM(6053,6060) = 36681180

LCM of 6053 and 6060

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

LCM of:
and

Least Common Multiple of 6053 and 6060

LCM of 6053 and 6060 is 36681180

Least common multiple can be found by multiplying the highest exponent prime factors of 6053 and 6060. First we will calculate the prime factors of 6053 and 6060.

Prime Factorization of 6053


6053 6053
1

Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:

6053 = 60531

Prime Factorization of 6060


2 6060
2 3030
3 1515
5 505
101 101
1

Prime factors of 6060 are 2, 3, 5,101. Prime factorization of 6060 in exponential form is:

6060 = 22×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6053 and 6060.

LCM(6053,6060) = 22×31×51×1011×60531
LCM(6053,6060) = 36681180

Factors of 6053

List of positive integer factors of 6053 that divides 6053 without a remainder.

1, 6053

Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

Least Common Multiple of 6053 and 6060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6053 and 6060, than apply into the LCM equation.

GCF(6053,6060) = 1
LCM(6053,6060) = ( 6053 × 6060) / 1
LCM(6053,6060) = 36681180 / 1
LCM(6053,6060) = 36681180

Properties of LCM 6053 and 6060

(i) The LCM of 6060 and 6053 is associative

LCM of 6053 and 6060 = LCM of 6060 and 6053

Related Least Common Multiples of 6053

Related Least Common Multiples of 6060

Frequently Asked Questions on LCM of 6053 and 6060

1. What is the LCM of 6053 and 6060?

Answer: LCM of 6053 and 6060 is 36681180.

2. What are the Factors of 6053?

Answer: Factors of 6053 are 1, 6053. There are 2 integers that are factors of 6053. The greatest factor of 6053 is 6053.

3. What are the Factors of 6060?

Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.

4. How to Find the LCM of 6053 and 6060?

Answer:

Least Common Multiple of 6053 and 6060 = 36681180

Step 1: Find the prime factorization of 6053

6053 = 6053

Step 2: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

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

LCM = 36681180 = 2 x 2 x 3 x 5 x 101 x 6053

Step 4: Therefore, the least common multiple of 6053 and 6060 is 36681180.