Least Common Multiple of 8075 and 8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8075 and 8076 the smallest integer that is 65213700 that is divisible by both numbers.

Least Common Multiple (LCM) of 8075 and 8076 is 65213700.

LCM(8075,8076) = 65213700

LCM of 8075 and 8076

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

LCM of:
and

Least Common Multiple of 8075 and 8076

LCM of 8075 and 8076 is 65213700

Least common multiple can be found by multiplying the highest exponent prime factors of 8075 and 8076. First we will calculate the prime factors of 8075 and 8076.

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

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 8075 and 8076.

LCM(8075,8076) = 22×31×52×171×191×6731
LCM(8075,8076) = 65213700

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

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

Least Common Multiple of 8075 and 8076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8075 and 8076, than apply into the LCM equation.

GCF(8075,8076) = 1
LCM(8075,8076) = ( 8075 × 8076) / 1
LCM(8075,8076) = 65213700 / 1
LCM(8075,8076) = 65213700

Properties of LCM 8075 and 8076

(i) The LCM of 8076 and 8075 is associative

LCM of 8075 and 8076 = LCM of 8076 and 8075

Related Least Common Multiples of 8075

Related Least Common Multiples of 8076

Frequently Asked Questions on LCM of 8075 and 8076

1. What is the LCM of 8075 and 8076?

Answer: LCM of 8075 and 8076 is 65213700.

2. 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.

3. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

4. How to Find the LCM of 8075 and 8076?

Answer:

Least Common Multiple of 8075 and 8076 = 65213700

Step 1: Find the prime factorization of 8075

8075 = 5 x 5 x 17 x 19

Step 2: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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

LCM = 65213700 = 2 x 2 x 3 x 5 x 5 x 17 x 19 x 673

Step 4: Therefore, the least common multiple of 8075 and 8076 is 65213700.