Least Common Multiple of 4086 and 4092

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 4092 the smallest integer that is 2786652 that is divisible by both numbers.

Least Common Multiple (LCM) of 4086 and 4092 is 2786652.

LCM(4086,4092) = 2786652

LCM of 4086 and 4092

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

LCM of:
and

Least Common Multiple of 4086 and 4092

LCM of 4086 and 4092 is 2786652

Least common multiple can be found by multiplying the highest exponent prime factors of 4086 and 4092. First we will calculate the prime factors of 4086 and 4092.

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 4092


2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 4092 are 2, 3, 11,31. Prime factorization of 4092 in exponential form is:

4092 = 22×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4086 and 4092.

LCM(4086,4092) = 22×32×111×311×2271
LCM(4086,4092) = 2786652

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 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092

Least Common Multiple of 4086 and 4092 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 4092, than apply into the LCM equation.

GCF(4086,4092) = 6
LCM(4086,4092) = ( 4086 × 4092) / 6
LCM(4086,4092) = 16719912 / 6
LCM(4086,4092) = 2786652

Properties of LCM 4086 and 4092

(i) The LCM of 4092 and 4086 is associative

LCM of 4086 and 4092 = LCM of 4092 and 4086

Related Least Common Multiples of 4086

Related Least Common Multiples of 4092

Frequently Asked Questions on LCM of 4086 and 4092

1. What is the LCM of 4086 and 4092?

Answer: LCM of 4086 and 4092 is 2786652.

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 4092?

Answer: Factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092. There are 24 integers that are factors of 4092. The greatest factor of 4092 is 4092.

4. How to Find the LCM of 4086 and 4092?

Answer:

Least Common Multiple of 4086 and 4092 = 2786652

Step 1: Find the prime factorization of 4086

4086 = 2 x 3 x 3 x 227

Step 2: Find the prime factorization of 4092

4092 = 2 x 2 x 3 x 11 x 31

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

LCM = 2786652 = 2 x 2 x 3 x 3 x 11 x 31 x 227

Step 4: Therefore, the least common multiple of 4086 and 4092 is 2786652.