Least Common Multiple of 4067 and 4068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4067 and 4068 the smallest integer that is 16544556 that is divisible by both numbers.

Least Common Multiple (LCM) of 4067 and 4068 is 16544556.

LCM(4067,4068) = 16544556

LCM of 4067 and 4068

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

LCM of:
and

Least Common Multiple of 4067 and 4068

LCM of 4067 and 4068 is 16544556

Least common multiple can be found by multiplying the highest exponent prime factors of 4067 and 4068. First we will calculate the prime factors of 4067 and 4068.

Prime Factorization of 4067


7 4067
7 581
83 83
1

Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:

4067 = 72×831

Prime Factorization of 4068


2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 4068 are 2, 3,113. Prime factorization of 4068 in exponential form is:

4068 = 22×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4067 and 4068.

LCM(4067,4068) = 22×32×72×831×1131
LCM(4067,4068) = 16544556

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1, 7, 49, 83, 581, 4067

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068

Least Common Multiple of 4067 and 4068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4067 and 4068, than apply into the LCM equation.

GCF(4067,4068) = 1
LCM(4067,4068) = ( 4067 × 4068) / 1
LCM(4067,4068) = 16544556 / 1
LCM(4067,4068) = 16544556

Properties of LCM 4067 and 4068

(i) The LCM of 4068 and 4067 is associative

LCM of 4067 and 4068 = LCM of 4068 and 4067

Related Least Common Multiples of 4067

Related Least Common Multiples of 4068

Frequently Asked Questions on LCM of 4067 and 4068

1. What is the LCM of 4067 and 4068?

Answer: LCM of 4067 and 4068 is 16544556.

2. What are the Factors of 4067?

Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.

3. What are the Factors of 4068?

Answer: Factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068. There are 18 integers that are factors of 4068. The greatest factor of 4068 is 4068.

4. How to Find the LCM of 4067 and 4068?

Answer:

Least Common Multiple of 4067 and 4068 = 16544556

Step 1: Find the prime factorization of 4067

4067 = 7 x 7 x 83

Step 2: Find the prime factorization of 4068

4068 = 2 x 2 x 3 x 3 x 113

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

LCM = 16544556 = 2 x 2 x 3 x 3 x 7 x 7 x 83 x 113

Step 4: Therefore, the least common multiple of 4067 and 4068 is 16544556.