Least Common Multiple of 4090 and 4095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4090 and 4095 the smallest integer that is 3349710 that is divisible by both numbers.

Least Common Multiple (LCM) of 4090 and 4095 is 3349710.

LCM(4090,4095) = 3349710

LCM of 4090 and 4095

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

LCM of:
and

Least Common Multiple of 4090 and 4095

LCM of 4090 and 4095 is 3349710

Least common multiple can be found by multiplying the highest exponent prime factors of 4090 and 4095. First we will calculate the prime factors of 4090 and 4095.

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

Prime Factorization of 4095


3 4095
3 1365
5 455
7 91
13 13
1

Prime factors of 4095 are 3, 5, 7,13. Prime factorization of 4095 in exponential form is:

4095 = 32×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4090 and 4095.

LCM(4090,4095) = 21×32×51×71×131×4091
LCM(4090,4095) = 3349710

Factors of 4090

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

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

Factors of 4095

List of positive integer factors of 4095 that divides 4095 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095

Least Common Multiple of 4090 and 4095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4090 and 4095, than apply into the LCM equation.

GCF(4090,4095) = 5
LCM(4090,4095) = ( 4090 × 4095) / 5
LCM(4090,4095) = 16748550 / 5
LCM(4090,4095) = 3349710

Properties of LCM 4090 and 4095

(i) The LCM of 4095 and 4090 is associative

LCM of 4090 and 4095 = LCM of 4095 and 4090

Related Least Common Multiples of 4090

Related Least Common Multiples of 4095

Frequently Asked Questions on LCM of 4090 and 4095

1. What is the LCM of 4090 and 4095?

Answer: LCM of 4090 and 4095 is 3349710.

2. 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.

3. What are the Factors of 4095?

Answer: Factors of 4095 are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095. There are 24 integers that are factors of 4095. The greatest factor of 4095 is 4095.

4. How to Find the LCM of 4090 and 4095?

Answer:

Least Common Multiple of 4090 and 4095 = 3349710

Step 1: Find the prime factorization of 4090

4090 = 2 x 5 x 409

Step 2: Find the prime factorization of 4095

4095 = 3 x 3 x 5 x 7 x 13

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

LCM = 3349710 = 2 x 3 x 3 x 5 x 7 x 13 x 409

Step 4: Therefore, the least common multiple of 4090 and 4095 is 3349710.