Least Common Multiple of 80 and 7

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 7 the smallest integer that is 560 that is divisible by both numbers.

Least Common Multiple (LCM) of 80 and 7 is 560.

LCM(80,7) = 560

LCM of 80 and 7

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

LCM of:
and

Least Common Multiple of 80 and 7

LCM of 80 and 7 is 560

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 7. First we will calculate the prime factors of 80 and 7.

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 7


7 7
1

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 71

Now multiplying the highest exponent prime factors to calculate the LCM of 80 and 7.

LCM(80,7) = 24×51×71
LCM(80,7) = 560

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 7

List of positive integer factors of 7 that divides 7 without a remainder.

1, 7

Least Common Multiple of 80 and 7 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 7, than apply into the LCM equation.

GCF(80,7) = 1
LCM(80,7) = ( 80 × 7) / 1
LCM(80,7) = 560 / 1
LCM(80,7) = 560

Properties of LCM 80 and 7

(i) The LCM of 7 and 80 is associative

LCM of 80 and 7 = LCM of 7 and 80

Related Least Common Multiples of 80

Related Least Common Multiples of 7

Frequently Asked Questions on LCM of 80 and 7

1. What is the LCM of 80 and 7?

Answer: LCM of 80 and 7 is 560.

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 7?

Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7.

4. How to Find the LCM of 80 and 7?

Answer:

Least Common Multiple of 80 and 7 = 560

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 7

7 = 7

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

LCM = 560 = 2 x 2 x 2 x 2 x 5 x 7

Step 4: Therefore, the least common multiple of 80 and 7 is 560.