Least Common Multiple of 6060 and 6065

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 6065 the smallest integer that is 7350780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6060 and 6065 is 7350780.

LCM(6060,6065) = 7350780

LCM of 6060 and 6065

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

LCM of:
and

Least Common Multiple of 6060 and 6065

LCM of 6060 and 6065 is 7350780

Least common multiple can be found by multiplying the highest exponent prime factors of 6060 and 6065. First we will calculate the prime factors of 6060 and 6065.

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 6065


5 6065
1213 1213
1

Prime factors of 6065 are 5,1213. Prime factorization of 6065 in exponential form is:

6065 = 51×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 6060 and 6065.

LCM(6060,6065) = 22×31×51×1011×12131
LCM(6060,6065) = 7350780

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 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1, 5, 1213, 6065

Least Common Multiple of 6060 and 6065 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 6065, than apply into the LCM equation.

GCF(6060,6065) = 5
LCM(6060,6065) = ( 6060 × 6065) / 5
LCM(6060,6065) = 36753900 / 5
LCM(6060,6065) = 7350780

Properties of LCM 6060 and 6065

(i) The LCM of 6065 and 6060 is associative

LCM of 6060 and 6065 = LCM of 6065 and 6060

Related Least Common Multiples of 6060

Related Least Common Multiples of 6065

Frequently Asked Questions on LCM of 6060 and 6065

1. What is the LCM of 6060 and 6065?

Answer: LCM of 6060 and 6065 is 7350780.

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 6065?

Answer: Factors of 6065 are 1, 5, 1213, 6065. There are 4 integers that are factors of 6065. The greatest factor of 6065 is 6065.

4. How to Find the LCM of 6060 and 6065?

Answer:

Least Common Multiple of 6060 and 6065 = 7350780

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 6065

6065 = 5 x 1213

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

LCM = 7350780 = 2 x 2 x 3 x 5 x 101 x 1213

Step 4: Therefore, the least common multiple of 6060 and 6065 is 7350780.