Least Common Multiple of 80 and 87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 80 and 87 the smallest integer that is 6960 that is divisible by both numbers.

Least Common Multiple (LCM) of 80 and 87 is 6960.

LCM(80,87) = 6960

LCM of 80 and 87

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

LCM of:
and

Least Common Multiple of 80 and 87

LCM of 80 and 87 is 6960

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 87. First we will calculate the prime factors of 80 and 87.

Prime Factorization of 80


2 80
2 40
2 20
2 10
5 5
1

Prime factors of 80 are 2,5. Prime factorization of 80 in exponential form is:

80 = 24×51

Prime Factorization of 87


3 87
29 29
1

Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:

87 = 31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 80 and 87.

LCM(80,87) = 24×31×51×291
LCM(80,87) = 6960

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Least Common Multiple of 80 and 87 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80 and 87, than apply into the LCM equation.

GCF(80,87) = 1
LCM(80,87) = ( 80 × 87) / 1
LCM(80,87) = 6960 / 1
LCM(80,87) = 6960

Properties of LCM 80 and 87

(i) The LCM of 87 and 80 is associative

LCM of 80 and 87 = LCM of 87 and 80

Related Least Common Multiples of 80

Related Least Common Multiples of 87

Frequently Asked Questions on LCM of 80 and 87

1. What is the LCM of 80 and 87?

Answer: LCM of 80 and 87 is 6960.

2. What are the Factors of 80?

Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.

3. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

4. How to Find the LCM of 80 and 87?

Answer:

Least Common Multiple of 80 and 87 = 6960

Step 1: Find the prime factorization of 80

80 = 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 87

87 = 3 x 29

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

LCM = 6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 4: Therefore, the least common multiple of 80 and 87 is 6960.