Least Common Multiple of 8070 and 8075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8070 and 8075 the smallest integer that is 13033050 that is divisible by both numbers.

Least Common Multiple (LCM) of 8070 and 8075 is 13033050.

LCM(8070,8075) = 13033050

LCM of 8070 and 8075

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

LCM of:
and

Least Common Multiple of 8070 and 8075

LCM of 8070 and 8075 is 13033050

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8075. First we will calculate the prime factors of 8070 and 8075.

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

Prime Factorization of 8075


5 8075
5 1615
17 323
19 19
1

Prime factors of 8075 are 5, 17,19. Prime factorization of 8075 in exponential form is:

8075 = 52×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8075.

LCM(8070,8075) = 21×31×52×171×191×2691
LCM(8070,8075) = 13033050

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

Factors of 8075

List of positive integer factors of 8075 that divides 8075 without a remainder.

1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075

Least Common Multiple of 8070 and 8075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8070 and 8075, than apply into the LCM equation.

GCF(8070,8075) = 5
LCM(8070,8075) = ( 8070 × 8075) / 5
LCM(8070,8075) = 65165250 / 5
LCM(8070,8075) = 13033050

Properties of LCM 8070 and 8075

(i) The LCM of 8075 and 8070 is associative

LCM of 8070 and 8075 = LCM of 8075 and 8070

Related Least Common Multiples of 8070

Related Least Common Multiples of 8075

Frequently Asked Questions on LCM of 8070 and 8075

1. What is the LCM of 8070 and 8075?

Answer: LCM of 8070 and 8075 is 13033050.

2. 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.

3. What are the Factors of 8075?

Answer: Factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075. There are 12 integers that are factors of 8075. The greatest factor of 8075 is 8075.

4. How to Find the LCM of 8070 and 8075?

Answer:

Least Common Multiple of 8070 and 8075 = 13033050

Step 1: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

Step 2: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

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

LCM = 13033050 = 2 x 3 x 5 x 5 x 17 x 19 x 269

Step 4: Therefore, the least common multiple of 8070 and 8075 is 13033050.