Least Common Multiple of 6060 and 6066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6060 and 6066 the smallest integer that is 6126660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6060 and 6066 is 6126660.

LCM(6060,6066) = 6126660

LCM of 6060 and 6066

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

LCM of:
and

Least Common Multiple of 6060 and 6066

LCM of 6060 and 6066 is 6126660

Least common multiple can be found by multiplying the highest exponent prime factors of 6060 and 6066. First we will calculate the prime factors of 6060 and 6066.

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

Prime Factorization of 6066


2 6066
3 3033
3 1011
337 337
1

Prime factors of 6066 are 2, 3,337. Prime factorization of 6066 in exponential form is:

6066 = 21×32×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 6060 and 6066.

LCM(6060,6066) = 22×32×51×1011×3371
LCM(6060,6066) = 6126660

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

Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

Least Common Multiple of 6060 and 6066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6060 and 6066, than apply into the LCM equation.

GCF(6060,6066) = 6
LCM(6060,6066) = ( 6060 × 6066) / 6
LCM(6060,6066) = 36759960 / 6
LCM(6060,6066) = 6126660

Properties of LCM 6060 and 6066

(i) The LCM of 6066 and 6060 is associative

LCM of 6060 and 6066 = LCM of 6066 and 6060

Related Least Common Multiples of 6060

Related Least Common Multiples of 6066

Frequently Asked Questions on LCM of 6060 and 6066

1. What is the LCM of 6060 and 6066?

Answer: LCM of 6060 and 6066 is 6126660.

2. 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.

3. What are the Factors of 6066?

Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.

4. How to Find the LCM of 6060 and 6066?

Answer:

Least Common Multiple of 6060 and 6066 = 6126660

Step 1: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

Step 2: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

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

LCM = 6126660 = 2 x 2 x 3 x 3 x 5 x 101 x 337

Step 4: Therefore, the least common multiple of 6060 and 6066 is 6126660.