Least Common Multiple of 6060 and 6067

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 6067 the smallest integer that is 36766020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6060 and 6067 is 36766020.

LCM(6060,6067) = 36766020

LCM of 6060 and 6067

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

LCM of:
and

Least Common Multiple of 6060 and 6067

LCM of 6060 and 6067 is 36766020

Least common multiple can be found by multiplying the highest exponent prime factors of 6060 and 6067. First we will calculate the prime factors of 6060 and 6067.

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 6067


6067 6067
1

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 6060 and 6067.

LCM(6060,6067) = 22×31×51×1011×60671
LCM(6060,6067) = 36766020

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 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1, 6067

Least Common Multiple of 6060 and 6067 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 6067, than apply into the LCM equation.

GCF(6060,6067) = 1
LCM(6060,6067) = ( 6060 × 6067) / 1
LCM(6060,6067) = 36766020 / 1
LCM(6060,6067) = 36766020

Properties of LCM 6060 and 6067

(i) The LCM of 6067 and 6060 is associative

LCM of 6060 and 6067 = LCM of 6067 and 6060

Related Least Common Multiples of 6060

Related Least Common Multiples of 6067

Frequently Asked Questions on LCM of 6060 and 6067

1. What is the LCM of 6060 and 6067?

Answer: LCM of 6060 and 6067 is 36766020.

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 6067?

Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.

4. How to Find the LCM of 6060 and 6067?

Answer:

Least Common Multiple of 6060 and 6067 = 36766020

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 6067

6067 = 6067

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

LCM = 36766020 = 2 x 2 x 3 x 5 x 101 x 6067

Step 4: Therefore, the least common multiple of 6060 and 6067 is 36766020.