Least Common Multiple of 8065 and 8070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8065 and 8070 the smallest integer that is 13016910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8065 and 8070 is 13016910.

LCM(8065,8070) = 13016910

LCM of 8065 and 8070

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

LCM of:
and

Least Common Multiple of 8065 and 8070

LCM of 8065 and 8070 is 13016910

Least common multiple can be found by multiplying the highest exponent prime factors of 8065 and 8070. First we will calculate the prime factors of 8065 and 8070.

Prime Factorization of 8065


5 8065
1613 1613
1

Prime factors of 8065 are 5,1613. Prime factorization of 8065 in exponential form is:

8065 = 51×16131

Prime Factorization of 8070


2 8070
3 4035
5 1345
269 269
1

Prime factors of 8070 are 2, 3, 5,269. Prime factorization of 8070 in exponential form is:

8070 = 21×31×51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8065 and 8070.

LCM(8065,8070) = 21×31×51×2691×16131
LCM(8065,8070) = 13016910

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1, 5, 1613, 8065

Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070

Least Common Multiple of 8065 and 8070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8065 and 8070, than apply into the LCM equation.

GCF(8065,8070) = 5
LCM(8065,8070) = ( 8065 × 8070) / 5
LCM(8065,8070) = 65084550 / 5
LCM(8065,8070) = 13016910

Properties of LCM 8065 and 8070

(i) The LCM of 8070 and 8065 is associative

LCM of 8065 and 8070 = LCM of 8070 and 8065

Related Least Common Multiples of 8065

Related Least Common Multiples of 8070

Frequently Asked Questions on LCM of 8065 and 8070

1. What is the LCM of 8065 and 8070?

Answer: LCM of 8065 and 8070 is 13016910.

2. What are the Factors of 8065?

Answer: Factors of 8065 are 1, 5, 1613, 8065. There are 4 integers that are factors of 8065. The greatest factor of 8065 is 8065.

3. What are the Factors of 8070?

Answer: Factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070. There are 16 integers that are factors of 8070. The greatest factor of 8070 is 8070.

4. How to Find the LCM of 8065 and 8070?

Answer:

Least Common Multiple of 8065 and 8070 = 13016910

Step 1: Find the prime factorization of 8065

8065 = 5 x 1613

Step 2: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

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

LCM = 13016910 = 2 x 3 x 5 x 269 x 1613

Step 4: Therefore, the least common multiple of 8065 and 8070 is 13016910.