Least Common Multiple of 4082 and 4090

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 4090 the smallest integer that is 8347690 that is divisible by both numbers.

Least Common Multiple (LCM) of 4082 and 4090 is 8347690.

LCM(4082,4090) = 8347690

LCM of 4082 and 4090

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

LCM of:
and

Least Common Multiple of 4082 and 4090

LCM of 4082 and 4090 is 8347690

Least common multiple can be found by multiplying the highest exponent prime factors of 4082 and 4090. First we will calculate the prime factors of 4082 and 4090.

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 4090


2 4090
5 2045
409 409
1

Prime factors of 4090 are 2, 5,409. Prime factorization of 4090 in exponential form is:

4090 = 21×51×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4082 and 4090.

LCM(4082,4090) = 21×51×131×1571×4091
LCM(4082,4090) = 8347690

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 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1, 2, 5, 10, 409, 818, 2045, 4090

Least Common Multiple of 4082 and 4090 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 4090, than apply into the LCM equation.

GCF(4082,4090) = 2
LCM(4082,4090) = ( 4082 × 4090) / 2
LCM(4082,4090) = 16695380 / 2
LCM(4082,4090) = 8347690

Properties of LCM 4082 and 4090

(i) The LCM of 4090 and 4082 is associative

LCM of 4082 and 4090 = LCM of 4090 and 4082

Related Least Common Multiples of 4082

Related Least Common Multiples of 4090

Frequently Asked Questions on LCM of 4082 and 4090

1. What is the LCM of 4082 and 4090?

Answer: LCM of 4082 and 4090 is 8347690.

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 4090?

Answer: Factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090. There are 8 integers that are factors of 4090. The greatest factor of 4090 is 4090.

4. How to Find the LCM of 4082 and 4090?

Answer:

Least Common Multiple of 4082 and 4090 = 8347690

Step 1: Find the prime factorization of 4082

4082 = 2 x 13 x 157

Step 2: Find the prime factorization of 4090

4090 = 2 x 5 x 409

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

LCM = 8347690 = 2 x 5 x 13 x 157 x 409

Step 4: Therefore, the least common multiple of 4082 and 4090 is 8347690.