Least Common Multiple of 7068 and 7076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7068 and 7076 the smallest integer that is 12503292 that is divisible by both numbers.

Least Common Multiple (LCM) of 7068 and 7076 is 12503292.

LCM(7068,7076) = 12503292

LCM of 7068 and 7076

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

LCM of:
and

Least Common Multiple of 7068 and 7076

LCM of 7068 and 7076 is 12503292

Least common multiple can be found by multiplying the highest exponent prime factors of 7068 and 7076. First we will calculate the prime factors of 7068 and 7076.

Prime Factorization of 7068


2 7068
2 3534
3 1767
19 589
31 31
1

Prime factors of 7068 are 2, 3, 19,31. Prime factorization of 7068 in exponential form is:

7068 = 22×31×191×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7068 and 7076.

LCM(7068,7076) = 22×31×191×291×311×611
LCM(7068,7076) = 12503292

Factors of 7068

List of positive integer factors of 7068 that divides 7068 without a remainder.

1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068

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

Least Common Multiple of 7068 and 7076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7068 and 7076, than apply into the LCM equation.

GCF(7068,7076) = 4
LCM(7068,7076) = ( 7068 × 7076) / 4
LCM(7068,7076) = 50013168 / 4
LCM(7068,7076) = 12503292

Properties of LCM 7068 and 7076

(i) The LCM of 7076 and 7068 is associative

LCM of 7068 and 7076 = LCM of 7076 and 7068

Related Least Common Multiples of 7068

Related Least Common Multiples of 7076

Frequently Asked Questions on LCM of 7068 and 7076

1. What is the LCM of 7068 and 7076?

Answer: LCM of 7068 and 7076 is 12503292.

2. What are the Factors of 7068?

Answer: Factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068. There are 24 integers that are factors of 7068. The greatest factor of 7068 is 7068.

3. 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.

4. How to Find the LCM of 7068 and 7076?

Answer:

Least Common Multiple of 7068 and 7076 = 12503292

Step 1: Find the prime factorization of 7068

7068 = 2 x 2 x 3 x 19 x 31

Step 2: Find the prime factorization of 7076

7076 = 2 x 2 x 29 x 61

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

LCM = 12503292 = 2 x 2 x 3 x 19 x 29 x 31 x 61

Step 4: Therefore, the least common multiple of 7068 and 7076 is 12503292.