Least Common Multiple of 7076 and 7080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7076 and 7080 the smallest integer that is 12524520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7076 and 7080 is 12524520.

LCM(7076,7080) = 12524520

LCM of 7076 and 7080

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

LCM of:
and

Least Common Multiple of 7076 and 7080

LCM of 7076 and 7080 is 12524520

Least common multiple can be found by multiplying the highest exponent prime factors of 7076 and 7080. First we will calculate the prime factors of 7076 and 7080.

Prime Factorization of 7076


2 7076
2 3538
29 1769
61 61
1

Prime factors of 7076 are 2, 29,61. Prime factorization of 7076 in exponential form is:

7076 = 22×291×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7076 and 7080.

LCM(7076,7080) = 23×31×51×291×591×611
LCM(7076,7080) = 12524520

Factors of 7076

List of positive integer factors of 7076 that divides 7076 without a remainder.

1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

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

Least Common Multiple of 7076 and 7080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7076 and 7080, than apply into the LCM equation.

GCF(7076,7080) = 4
LCM(7076,7080) = ( 7076 × 7080) / 4
LCM(7076,7080) = 50098080 / 4
LCM(7076,7080) = 12524520

Properties of LCM 7076 and 7080

(i) The LCM of 7080 and 7076 is associative

LCM of 7076 and 7080 = LCM of 7080 and 7076

Related Least Common Multiples of 7076

Related Least Common Multiples of 7080

Frequently Asked Questions on LCM of 7076 and 7080

1. What is the LCM of 7076 and 7080?

Answer: LCM of 7076 and 7080 is 12524520.

2. What are the Factors of 7076?

Answer: Factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076. There are 12 integers that are factors of 7076. The greatest factor of 7076 is 7076.

3. 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.

4. How to Find the LCM of 7076 and 7080?

Answer:

Least Common Multiple of 7076 and 7080 = 12524520

Step 1: Find the prime factorization of 7076

7076 = 2 x 2 x 29 x 61

Step 2: Find the prime factorization of 7080

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

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

LCM = 12524520 = 2 x 2 x 2 x 3 x 5 x 29 x 59 x 61

Step 4: Therefore, the least common multiple of 7076 and 7080 is 12524520.