Least Common Multiple of 8073 and 8080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8073 and 8080 the smallest integer that is 65229840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8073 and 8080 is 65229840.

LCM(8073,8080) = 65229840

LCM of 8073 and 8080

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

LCM of:
and

Least Common Multiple of 8073 and 8080

LCM of 8073 and 8080 is 65229840

Least common multiple can be found by multiplying the highest exponent prime factors of 8073 and 8080. First we will calculate the prime factors of 8073 and 8080.

Prime Factorization of 8073


3 8073
3 2691
3 897
13 299
23 23
1

Prime factors of 8073 are 3, 13,23. Prime factorization of 8073 in exponential form is:

8073 = 33×131×231

Prime Factorization of 8080


2 8080
2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 8080 are 2, 5,101. Prime factorization of 8080 in exponential form is:

8080 = 24×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8073 and 8080.

LCM(8073,8080) = 24×33×51×131×231×1011
LCM(8073,8080) = 65229840

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080

Least Common Multiple of 8073 and 8080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8073 and 8080, than apply into the LCM equation.

GCF(8073,8080) = 1
LCM(8073,8080) = ( 8073 × 8080) / 1
LCM(8073,8080) = 65229840 / 1
LCM(8073,8080) = 65229840

Properties of LCM 8073 and 8080

(i) The LCM of 8080 and 8073 is associative

LCM of 8073 and 8080 = LCM of 8080 and 8073

Related Least Common Multiples of 8073

Related Least Common Multiples of 8080

Frequently Asked Questions on LCM of 8073 and 8080

1. What is the LCM of 8073 and 8080?

Answer: LCM of 8073 and 8080 is 65229840.

2. What are the Factors of 8073?

Answer: Factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. There are 16 integers that are factors of 8073. The greatest factor of 8073 is 8073.

3. What are the Factors of 8080?

Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.

4. How to Find the LCM of 8073 and 8080?

Answer:

Least Common Multiple of 8073 and 8080 = 65229840

Step 1: Find the prime factorization of 8073

8073 = 3 x 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 8080

8080 = 2 x 2 x 2 x 2 x 5 x 101

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

LCM = 65229840 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 23 x 101

Step 4: Therefore, the least common multiple of 8073 and 8080 is 65229840.