Least Common Multiple of 6086 and 6090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 6086 and 6090 the smallest integer that is 18531870 that is divisible by both numbers.

Least Common Multiple (LCM) of 6086 and 6090 is 18531870.

LCM(6086,6090) = 18531870

LCM of 6086 and 6090

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

LCM of:
and

Least Common Multiple of 6086 and 6090

LCM of 6086 and 6090 is 18531870

Least common multiple can be found by multiplying the highest exponent prime factors of 6086 and 6090. First we will calculate the prime factors of 6086 and 6090.

Prime Factorization of 6086


2 6086
17 3043
179 179
1

Prime factors of 6086 are 2, 17,179. Prime factorization of 6086 in exponential form is:

6086 = 21×171×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6086 and 6090.

LCM(6086,6090) = 21×31×51×71×171×291×1791
LCM(6086,6090) = 18531870

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1, 2, 17, 34, 179, 358, 3043, 6086

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

Least Common Multiple of 6086 and 6090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6086 and 6090, than apply into the LCM equation.

GCF(6086,6090) = 2
LCM(6086,6090) = ( 6086 × 6090) / 2
LCM(6086,6090) = 37063740 / 2
LCM(6086,6090) = 18531870

Properties of LCM 6086 and 6090

(i) The LCM of 6090 and 6086 is associative

LCM of 6086 and 6090 = LCM of 6090 and 6086

Frequently Asked Questions on LCM of 6086 and 6090

1. What is the LCM of 6086 and 6090?

Answer: LCM of 6086 and 6090 is 18531870.

2. What are the Factors of 6086?

Answer: Factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086. There are 8 integers that are factors of 6086. The greatest factor of 6086 is 6086.

3. 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.

4. How to Find the LCM of 6086 and 6090?

Answer:

Least Common Multiple of 6086 and 6090 = 18531870

Step 1: Find the prime factorization of 6086

6086 = 2 x 17 x 179

Step 2: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

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

LCM = 18531870 = 2 x 3 x 5 x 7 x 17 x 29 x 179

Step 4: Therefore, the least common multiple of 6086 and 6090 is 18531870.