Least Common Multiple of 4082 and 4088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4082 and 4088 the smallest integer that is 8343608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4082 and 4088 is 8343608.

LCM(4082,4088) = 8343608

LCM of 4082 and 4088

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

LCM of:
and

Least Common Multiple of 4082 and 4088

LCM of 4082 and 4088 is 8343608

Least common multiple can be found by multiplying the highest exponent prime factors of 4082 and 4088. First we will calculate the prime factors of 4082 and 4088.

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

Prime Factorization of 4088


2 4088
2 2044
2 1022
7 511
73 73
1

Prime factors of 4088 are 2, 7,73. Prime factorization of 4088 in exponential form is:

4088 = 23×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4082 and 4088.

LCM(4082,4088) = 23×71×131×731×1571
LCM(4082,4088) = 8343608

Factors of 4082

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

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

Factors of 4088

List of positive integer factors of 4088 that divides 4088 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088

Least Common Multiple of 4082 and 4088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4082 and 4088, than apply into the LCM equation.

GCF(4082,4088) = 2
LCM(4082,4088) = ( 4082 × 4088) / 2
LCM(4082,4088) = 16687216 / 2
LCM(4082,4088) = 8343608

Properties of LCM 4082 and 4088

(i) The LCM of 4088 and 4082 is associative

LCM of 4082 and 4088 = LCM of 4088 and 4082

Related Least Common Multiples of 4082

Related Least Common Multiples of 4088

Frequently Asked Questions on LCM of 4082 and 4088

1. What is the LCM of 4082 and 4088?

Answer: LCM of 4082 and 4088 is 8343608.

2. 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.

3. What are the Factors of 4088?

Answer: Factors of 4088 are 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088. There are 16 integers that are factors of 4088. The greatest factor of 4088 is 4088.

4. How to Find the LCM of 4082 and 4088?

Answer:

Least Common Multiple of 4082 and 4088 = 8343608

Step 1: Find the prime factorization of 4082

4082 = 2 x 13 x 157

Step 2: Find the prime factorization of 4088

4088 = 2 x 2 x 2 x 7 x 73

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

LCM = 8343608 = 2 x 2 x 2 x 7 x 13 x 73 x 157

Step 4: Therefore, the least common multiple of 4082 and 4088 is 8343608.