Least Common Multiple of 6090 and 6095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6090 and 6095 the smallest integer that is 7423710 that is divisible by both numbers.

Least Common Multiple (LCM) of 6090 and 6095 is 7423710.

LCM(6090,6095) = 7423710

LCM of 6090 and 6095

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

LCM of:
and

Least Common Multiple of 6090 and 6095

LCM of 6090 and 6095 is 7423710

Least common multiple can be found by multiplying the highest exponent prime factors of 6090 and 6095. First we will calculate the prime factors of 6090 and 6095.

Prime Factorization of 6090


2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 6090 are 2, 3, 5, 7,29. Prime factorization of 6090 in exponential form is:

6090 = 21×31×51×71×291

Prime Factorization of 6095


5 6095
23 1219
53 53
1

Prime factors of 6095 are 5, 23,53. Prime factorization of 6095 in exponential form is:

6095 = 51×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6090 and 6095.

LCM(6090,6095) = 21×31×51×71×231×291×531
LCM(6090,6095) = 7423710

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090

Factors of 6095

List of positive integer factors of 6095 that divides 6095 without a remainder.

1, 5, 23, 53, 115, 265, 1219, 6095

Least Common Multiple of 6090 and 6095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6090 and 6095, than apply into the LCM equation.

GCF(6090,6095) = 5
LCM(6090,6095) = ( 6090 × 6095) / 5
LCM(6090,6095) = 37118550 / 5
LCM(6090,6095) = 7423710

Properties of LCM 6090 and 6095

(i) The LCM of 6095 and 6090 is associative

LCM of 6090 and 6095 = LCM of 6095 and 6090

Related Least Common Multiples of 6090

Related Least Common Multiples of 6095

Frequently Asked Questions on LCM of 6090 and 6095

1. What is the LCM of 6090 and 6095?

Answer: LCM of 6090 and 6095 is 7423710.

2. What are the Factors of 6090?

Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.

3. What are the Factors of 6095?

Answer: Factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095. There are 8 integers that are factors of 6095. The greatest factor of 6095 is 6095.

4. How to Find the LCM of 6090 and 6095?

Answer:

Least Common Multiple of 6090 and 6095 = 7423710

Step 1: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 6095

6095 = 5 x 23 x 53

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

LCM = 7423710 = 2 x 3 x 5 x 7 x 23 x 29 x 53

Step 4: Therefore, the least common multiple of 6090 and 6095 is 7423710.