Least Common Multiple of 8072 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 8072 and 8080 the smallest integer that is 8152720 that is divisible by both numbers.

Least Common Multiple (LCM) of 8072 and 8080 is 8152720.

LCM(8072,8080) = 8152720

LCM of 8072 and 8080

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

LCM of:
and

Least Common Multiple of 8072 and 8080

LCM of 8072 and 8080 is 8152720

Least common multiple can be found by multiplying the highest exponent prime factors of 8072 and 8080. First we will calculate the prime factors of 8072 and 8080.

Prime Factorization of 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

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 8072 and 8080.

LCM(8072,8080) = 24×51×1011×10091
LCM(8072,8080) = 8152720

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036, 8072

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 8072 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 8072 and 8080, than apply into the LCM equation.

GCF(8072,8080) = 8
LCM(8072,8080) = ( 8072 × 8080) / 8
LCM(8072,8080) = 65221760 / 8
LCM(8072,8080) = 8152720

Properties of LCM 8072 and 8080

(i) The LCM of 8080 and 8072 is associative

LCM of 8072 and 8080 = LCM of 8080 and 8072

Related Least Common Multiples of 8072

Related Least Common Multiples of 8080

Frequently Asked Questions on LCM of 8072 and 8080

1. What is the LCM of 8072 and 8080?

Answer: LCM of 8072 and 8080 is 8152720.

2. What are the Factors of 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

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 8072 and 8080?

Answer:

Least Common Multiple of 8072 and 8080 = 8152720

Step 1: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

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 = 8152720 = 2 x 2 x 2 x 2 x 5 x 101 x 1009

Step 4: Therefore, the least common multiple of 8072 and 8080 is 8152720.