Least Common Multiple of 7064 and 7068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7064 and 7068 the smallest integer that is 12482088 that is divisible by both numbers.

Least Common Multiple (LCM) of 7064 and 7068 is 12482088.

LCM(7064,7068) = 12482088

LCM of 7064 and 7068

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

LCM of:
and

Least Common Multiple of 7064 and 7068

LCM of 7064 and 7068 is 12482088

Least common multiple can be found by multiplying the highest exponent prime factors of 7064 and 7068. First we will calculate the prime factors of 7064 and 7068.

Prime Factorization of 7064


2 7064
2 3532
2 1766
883 883
1

Prime factors of 7064 are 2,883. Prime factorization of 7064 in exponential form is:

7064 = 23×8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7064 and 7068.

LCM(7064,7068) = 23×31×191×311×8831
LCM(7064,7068) = 12482088

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1, 2, 4, 8, 883, 1766, 3532, 7064

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

Least Common Multiple of 7064 and 7068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7064 and 7068, than apply into the LCM equation.

GCF(7064,7068) = 4
LCM(7064,7068) = ( 7064 × 7068) / 4
LCM(7064,7068) = 49928352 / 4
LCM(7064,7068) = 12482088

Properties of LCM 7064 and 7068

(i) The LCM of 7068 and 7064 is associative

LCM of 7064 and 7068 = LCM of 7068 and 7064

Related Least Common Multiples of 7064

Related Least Common Multiples of 7068

Frequently Asked Questions on LCM of 7064 and 7068

1. What is the LCM of 7064 and 7068?

Answer: LCM of 7064 and 7068 is 12482088.

2. What are the Factors of 7064?

Answer: Factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064. There are 8 integers that are factors of 7064. The greatest factor of 7064 is 7064.

3. 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.

4. How to Find the LCM of 7064 and 7068?

Answer:

Least Common Multiple of 7064 and 7068 = 12482088

Step 1: Find the prime factorization of 7064

7064 = 2 x 2 x 2 x 883

Step 2: Find the prime factorization of 7068

7068 = 2 x 2 x 3 x 19 x 31

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

LCM = 12482088 = 2 x 2 x 2 x 3 x 19 x 31 x 883

Step 4: Therefore, the least common multiple of 7064 and 7068 is 12482088.