Least Common Multiple of 6065 and 6070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6065 and 6070 the smallest integer that is 7362910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6065 and 6070 is 7362910.

LCM(6065,6070) = 7362910

LCM of 6065 and 6070

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

LCM of:
and

Least Common Multiple of 6065 and 6070

LCM of 6065 and 6070 is 7362910

Least common multiple can be found by multiplying the highest exponent prime factors of 6065 and 6070. First we will calculate the prime factors of 6065 and 6070.

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

Prime Factorization of 6070


2 6070
5 3035
607 607
1

Prime factors of 6070 are 2, 5,607. Prime factorization of 6070 in exponential form is:

6070 = 21×51×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 6065 and 6070.

LCM(6065,6070) = 21×51×6071×12131
LCM(6065,6070) = 7362910

Factors of 6065

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

1, 5, 1213, 6065

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1, 2, 5, 10, 607, 1214, 3035, 6070

Least Common Multiple of 6065 and 6070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6065 and 6070, than apply into the LCM equation.

GCF(6065,6070) = 5
LCM(6065,6070) = ( 6065 × 6070) / 5
LCM(6065,6070) = 36814550 / 5
LCM(6065,6070) = 7362910

Properties of LCM 6065 and 6070

(i) The LCM of 6070 and 6065 is associative

LCM of 6065 and 6070 = LCM of 6070 and 6065

Related Least Common Multiples of 6065

Related Least Common Multiples of 6070

Frequently Asked Questions on LCM of 6065 and 6070

1. What is the LCM of 6065 and 6070?

Answer: LCM of 6065 and 6070 is 7362910.

2. 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.

3. What are the Factors of 6070?

Answer: Factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070. There are 8 integers that are factors of 6070. The greatest factor of 6070 is 6070.

4. How to Find the LCM of 6065 and 6070?

Answer:

Least Common Multiple of 6065 and 6070 = 7362910

Step 1: Find the prime factorization of 6065

6065 = 5 x 1213

Step 2: Find the prime factorization of 6070

6070 = 2 x 5 x 607

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

LCM = 7362910 = 2 x 5 x 607 x 1213

Step 4: Therefore, the least common multiple of 6065 and 6070 is 7362910.