Least Common Multiple of 6055 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 6055 and 6060 the smallest integer that is 7338660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6055 and 6060 is 7338660.

LCM(6055,6060) = 7338660

LCM of 6055 and 6060

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

LCM of:
and

Least Common Multiple of 6055 and 6060

LCM of 6055 and 6060 is 7338660

Least common multiple can be found by multiplying the highest exponent prime factors of 6055 and 6060. First we will calculate the prime factors of 6055 and 6060.

Prime Factorization of 6055


5 6055
7 1211
173 173
1

Prime factors of 6055 are 5, 7,173. Prime factorization of 6055 in exponential form is:

6055 = 51×71×1731

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 6055 and 6060.

LCM(6055,6060) = 22×31×51×71×1011×1731
LCM(6055,6060) = 7338660

Factors of 6055

List of positive integer factors of 6055 that divides 6055 without a remainder.

1, 5, 7, 35, 173, 865, 1211, 6055

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 6055 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 6055 and 6060, than apply into the LCM equation.

GCF(6055,6060) = 5
LCM(6055,6060) = ( 6055 × 6060) / 5
LCM(6055,6060) = 36693300 / 5
LCM(6055,6060) = 7338660

Properties of LCM 6055 and 6060

(i) The LCM of 6060 and 6055 is associative

LCM of 6055 and 6060 = LCM of 6060 and 6055

Frequently Asked Questions on LCM of 6055 and 6060

1. What is the LCM of 6055 and 6060?

Answer: LCM of 6055 and 6060 is 7338660.

2. What are the Factors of 6055?

Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.

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 6055 and 6060?

Answer:

Least Common Multiple of 6055 and 6060 = 7338660

Step 1: Find the prime factorization of 6055

6055 = 5 x 7 x 173

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 = 7338660 = 2 x 2 x 3 x 5 x 7 x 101 x 173

Step 4: Therefore, the least common multiple of 6055 and 6060 is 7338660.