Least Common Multiple of 4086 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 4086 and 4090 the smallest integer that is 8355870 that is divisible by both numbers.

Least Common Multiple (LCM) of 4086 and 4090 is 8355870.

LCM(4086,4090) = 8355870

LCM of 4086 and 4090

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

LCM of:
and

Least Common Multiple of 4086 and 4090

LCM of 4086 and 4090 is 8355870

Least common multiple can be found by multiplying the highest exponent prime factors of 4086 and 4090. First we will calculate the prime factors of 4086 and 4090.

Prime Factorization of 4086


2 4086
3 2043
3 681
227 227
1

Prime factors of 4086 are 2, 3,227. Prime factorization of 4086 in exponential form is:

4086 = 21×32×2271

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 4086 and 4090.

LCM(4086,4090) = 21×32×51×2271×4091
LCM(4086,4090) = 8355870

Factors of 4086

List of positive integer factors of 4086 that divides 4086 without a remainder.

1, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 4086

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 4086 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 4086 and 4090, than apply into the LCM equation.

GCF(4086,4090) = 2
LCM(4086,4090) = ( 4086 × 4090) / 2
LCM(4086,4090) = 16711740 / 2
LCM(4086,4090) = 8355870

Properties of LCM 4086 and 4090

(i) The LCM of 4090 and 4086 is associative

LCM of 4086 and 4090 = LCM of 4090 and 4086

Related Least Common Multiples of 4086

Related Least Common Multiples of 4090

Frequently Asked Questions on LCM of 4086 and 4090

1. What is the LCM of 4086 and 4090?

Answer: LCM of 4086 and 4090 is 8355870.

2. What are the Factors of 4086?

Answer: Factors of 4086 are 1, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 4086. There are 12 integers that are factors of 4086. The greatest factor of 4086 is 4086.

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 4086 and 4090?

Answer:

Least Common Multiple of 4086 and 4090 = 8355870

Step 1: Find the prime factorization of 4086

4086 = 2 x 3 x 3 x 227

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 = 8355870 = 2 x 3 x 3 x 5 x 227 x 409

Step 4: Therefore, the least common multiple of 4086 and 4090 is 8355870.