Least Common Multiple of 4067 and 4075

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 4075 the smallest integer that is 16573025 that is divisible by both numbers.

Least Common Multiple (LCM) of 4067 and 4075 is 16573025.

LCM(4067,4075) = 16573025

LCM of 4067 and 4075

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

LCM of:
and

Least Common Multiple of 4067 and 4075

LCM of 4067 and 4075 is 16573025

Least common multiple can be found by multiplying the highest exponent prime factors of 4067 and 4075. First we will calculate the prime factors of 4067 and 4075.

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 4075


5 4075
5 815
163 163
1

Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:

4075 = 52×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4067 and 4075.

LCM(4067,4075) = 52×72×831×1631
LCM(4067,4075) = 16573025

Factors of 4067

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

1, 7, 49, 83, 581, 4067

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1, 5, 25, 163, 815, 4075

Least Common Multiple of 4067 and 4075 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 4075, than apply into the LCM equation.

GCF(4067,4075) = 1
LCM(4067,4075) = ( 4067 × 4075) / 1
LCM(4067,4075) = 16573025 / 1
LCM(4067,4075) = 16573025

Properties of LCM 4067 and 4075

(i) The LCM of 4075 and 4067 is associative

LCM of 4067 and 4075 = LCM of 4075 and 4067

Related Least Common Multiples of 4067

Related Least Common Multiples of 4075

Frequently Asked Questions on LCM of 4067 and 4075

1. What is the LCM of 4067 and 4075?

Answer: LCM of 4067 and 4075 is 16573025.

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 4075?

Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.

4. How to Find the LCM of 4067 and 4075?

Answer:

Least Common Multiple of 4067 and 4075 = 16573025

Step 1: Find the prime factorization of 4067

4067 = 7 x 7 x 83

Step 2: Find the prime factorization of 4075

4075 = 5 x 5 x 163

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

LCM = 16573025 = 5 x 5 x 7 x 7 x 83 x 163

Step 4: Therefore, the least common multiple of 4067 and 4075 is 16573025.