Least Common Multiple of 80 and 82

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 82 the smallest integer that is 3280 that is divisible by both numbers.

Least Common Multiple (LCM) of 80 and 82 is 3280.

LCM(80,82) = 3280

LCM of 80 and 82

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

LCM of:
and

Least Common Multiple of 80 and 82

LCM of 80 and 82 is 3280

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 82. First we will calculate the prime factors of 80 and 82.

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 82


2 82
41 41
1

Prime factors of 82 are 2,41. Prime factorization of 82 in exponential form is:

82 = 21×411

Now multiplying the highest exponent prime factors to calculate the LCM of 80 and 82.

LCM(80,82) = 24×51×411
LCM(80,82) = 3280

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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Least Common Multiple of 80 and 82 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 82, than apply into the LCM equation.

GCF(80,82) = 2
LCM(80,82) = ( 80 × 82) / 2
LCM(80,82) = 6560 / 2
LCM(80,82) = 3280

Properties of LCM 80 and 82

(i) The LCM of 82 and 80 is associative

LCM of 80 and 82 = LCM of 82 and 80

Related Least Common Multiples of 80

Related Least Common Multiples of 82

Frequently Asked Questions on LCM of 80 and 82

1. What is the LCM of 80 and 82?

Answer: LCM of 80 and 82 is 3280.

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 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

4. How to Find the LCM of 80 and 82?

Answer:

Least Common Multiple of 80 and 82 = 3280

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 82

82 = 2 x 41

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

LCM = 3280 = 2 x 2 x 2 x 2 x 5 x 41

Step 4: Therefore, the least common multiple of 80 and 82 is 3280.