Least Common Multiple of 7080 and 7084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7080 and 7084 the smallest integer that is 12538680 that is divisible by both numbers.

Least Common Multiple (LCM) of 7080 and 7084 is 12538680.

LCM(7080,7084) = 12538680

LCM of 7080 and 7084

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

LCM of:
and

Least Common Multiple of 7080 and 7084

LCM of 7080 and 7084 is 12538680

Least common multiple can be found by multiplying the highest exponent prime factors of 7080 and 7084. First we will calculate the prime factors of 7080 and 7084.

Prime Factorization of 7080


2 7080
2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 7080 are 2, 3, 5,59. Prime factorization of 7080 in exponential form is:

7080 = 23×31×51×591

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7080 and 7084.

LCM(7080,7084) = 23×31×51×71×111×231×591
LCM(7080,7084) = 12538680

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

Least Common Multiple of 7080 and 7084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7080 and 7084, than apply into the LCM equation.

GCF(7080,7084) = 4
LCM(7080,7084) = ( 7080 × 7084) / 4
LCM(7080,7084) = 50154720 / 4
LCM(7080,7084) = 12538680

Properties of LCM 7080 and 7084

(i) The LCM of 7084 and 7080 is associative

LCM of 7080 and 7084 = LCM of 7084 and 7080

Related Least Common Multiples of 7080

Related Least Common Multiples of 7084

Frequently Asked Questions on LCM of 7080 and 7084

1. What is the LCM of 7080 and 7084?

Answer: LCM of 7080 and 7084 is 12538680.

2. What are the Factors of 7080?

Answer: Factors of 7080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080. There are 32 integers that are factors of 7080. The greatest factor of 7080 is 7080.

3. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

4. How to Find the LCM of 7080 and 7084?

Answer:

Least Common Multiple of 7080 and 7084 = 12538680

Step 1: Find the prime factorization of 7080

7080 = 2 x 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

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

LCM = 12538680 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 23 x 59

Step 4: Therefore, the least common multiple of 7080 and 7084 is 12538680.