Least Common Multiple of 4075 and 4082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4075 and 4082 the smallest integer that is 16634150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4075 and 4082 is 16634150.

LCM(4075,4082) = 16634150

LCM of 4075 and 4082

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

LCM of:
and

Least Common Multiple of 4075 and 4082

LCM of 4075 and 4082 is 16634150

Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4082. First we will calculate the prime factors of 4075 and 4082.

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

Prime Factorization of 4082


2 4082
13 2041
157 157
1

Prime factors of 4082 are 2, 13,157. Prime factorization of 4082 in exponential form is:

4082 = 21×131×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4082.

LCM(4075,4082) = 21×52×131×1571×1631
LCM(4075,4082) = 16634150

Factors of 4075

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

1, 5, 25, 163, 815, 4075

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1, 2, 13, 26, 157, 314, 2041, 4082

Least Common Multiple of 4075 and 4082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4075 and 4082, than apply into the LCM equation.

GCF(4075,4082) = 1
LCM(4075,4082) = ( 4075 × 4082) / 1
LCM(4075,4082) = 16634150 / 1
LCM(4075,4082) = 16634150

Properties of LCM 4075 and 4082

(i) The LCM of 4082 and 4075 is associative

LCM of 4075 and 4082 = LCM of 4082 and 4075

Related Least Common Multiples of 4075

Related Least Common Multiples of 4082

Frequently Asked Questions on LCM of 4075 and 4082

1. What is the LCM of 4075 and 4082?

Answer: LCM of 4075 and 4082 is 16634150.

2. 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.

3. What are the Factors of 4082?

Answer: Factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082. There are 8 integers that are factors of 4082. The greatest factor of 4082 is 4082.

4. How to Find the LCM of 4075 and 4082?

Answer:

Least Common Multiple of 4075 and 4082 = 16634150

Step 1: Find the prime factorization of 4075

4075 = 5 x 5 x 163

Step 2: Find the prime factorization of 4082

4082 = 2 x 13 x 157

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

LCM = 16634150 = 2 x 5 x 5 x 13 x 157 x 163

Step 4: Therefore, the least common multiple of 4075 and 4082 is 16634150.