Least Common Multiple of 8076 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 8076 and 8080 the smallest integer that is 16313520 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8080 is 16313520.

LCM(8076,8080) = 16313520

LCM of 8076 and 8080

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

LCM of:
and

Least Common Multiple of 8076 and 8080

LCM of 8076 and 8080 is 16313520

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8080. First we will calculate the prime factors of 8076 and 8080.

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

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 8076 and 8080.

LCM(8076,8080) = 24×31×51×1011×6731
LCM(8076,8080) = 16313520

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

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 8076 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 8076 and 8080, than apply into the LCM equation.

GCF(8076,8080) = 4
LCM(8076,8080) = ( 8076 × 8080) / 4
LCM(8076,8080) = 65254080 / 4
LCM(8076,8080) = 16313520

Properties of LCM 8076 and 8080

(i) The LCM of 8080 and 8076 is associative

LCM of 8076 and 8080 = LCM of 8080 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8080

Frequently Asked Questions on LCM of 8076 and 8080

1. What is the LCM of 8076 and 8080?

Answer: LCM of 8076 and 8080 is 16313520.

2. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

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 8076 and 8080?

Answer:

Least Common Multiple of 8076 and 8080 = 16313520

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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 = 16313520 = 2 x 2 x 2 x 2 x 3 x 5 x 101 x 673

Step 4: Therefore, the least common multiple of 8076 and 8080 is 16313520.