Least Common Multiple of 8087 and 8092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8087 and 8092 the smallest integer that is 65440004 that is divisible by both numbers.

Least Common Multiple (LCM) of 8087 and 8092 is 65440004.

LCM(8087,8092) = 65440004

LCM of 8087 and 8092

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

LCM of:
and

Least Common Multiple of 8087 and 8092

LCM of 8087 and 8092 is 65440004

Least common multiple can be found by multiplying the highest exponent prime factors of 8087 and 8092. First we will calculate the prime factors of 8087 and 8092.

Prime Factorization of 8087


8087 8087
1

Prime factors of 8087 are 8087. Prime factorization of 8087 in exponential form is:

8087 = 80871

Prime Factorization of 8092


2 8092
2 4046
7 2023
17 289
17 17
1

Prime factors of 8092 are 2, 7,17. Prime factorization of 8092 in exponential form is:

8092 = 22×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 8087 and 8092.

LCM(8087,8092) = 22×71×172×80871
LCM(8087,8092) = 65440004

Factors of 8087

List of positive integer factors of 8087 that divides 8087 without a remainder.

1, 8087

Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

Least Common Multiple of 8087 and 8092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8087 and 8092, than apply into the LCM equation.

GCF(8087,8092) = 1
LCM(8087,8092) = ( 8087 × 8092) / 1
LCM(8087,8092) = 65440004 / 1
LCM(8087,8092) = 65440004

Properties of LCM 8087 and 8092

(i) The LCM of 8092 and 8087 is associative

LCM of 8087 and 8092 = LCM of 8092 and 8087

Related Least Common Multiples of 8087

Related Least Common Multiples of 8092

Frequently Asked Questions on LCM of 8087 and 8092

1. What is the LCM of 8087 and 8092?

Answer: LCM of 8087 and 8092 is 65440004.

2. What are the Factors of 8087?

Answer: Factors of 8087 are 1, 8087. There are 2 integers that are factors of 8087. The greatest factor of 8087 is 8087.

3. What are the Factors of 8092?

Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.

4. How to Find the LCM of 8087 and 8092?

Answer:

Least Common Multiple of 8087 and 8092 = 65440004

Step 1: Find the prime factorization of 8087

8087 = 8087

Step 2: Find the prime factorization of 8092

8092 = 2 x 2 x 7 x 17 x 17

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

LCM = 65440004 = 2 x 2 x 7 x 17 x 17 x 8087

Step 4: Therefore, the least common multiple of 8087 and 8092 is 65440004.