Least Common Multiple of 6086 and 6088

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 6088 the smallest integer that is 18525784 that is divisible by both numbers.

Least Common Multiple (LCM) of 6086 and 6088 is 18525784.

LCM(6086,6088) = 18525784

LCM of 6086 and 6088

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

LCM of:
and

Least Common Multiple of 6086 and 6088

LCM of 6086 and 6088 is 18525784

Least common multiple can be found by multiplying the highest exponent prime factors of 6086 and 6088. First we will calculate the prime factors of 6086 and 6088.

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 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 6086 and 6088.

LCM(6086,6088) = 23×171×1791×7611
LCM(6086,6088) = 18525784

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 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1, 2, 4, 8, 761, 1522, 3044, 6088

Least Common Multiple of 6086 and 6088 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 6088, than apply into the LCM equation.

GCF(6086,6088) = 2
LCM(6086,6088) = ( 6086 × 6088) / 2
LCM(6086,6088) = 37051568 / 2
LCM(6086,6088) = 18525784

Properties of LCM 6086 and 6088

(i) The LCM of 6088 and 6086 is associative

LCM of 6086 and 6088 = LCM of 6088 and 6086

Related Least Common Multiples of 6086

Related Least Common Multiples of 6088

Frequently Asked Questions on LCM of 6086 and 6088

1. What is the LCM of 6086 and 6088?

Answer: LCM of 6086 and 6088 is 18525784.

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 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

4. How to Find the LCM of 6086 and 6088?

Answer:

Least Common Multiple of 6086 and 6088 = 18525784

Step 1: Find the prime factorization of 6086

6086 = 2 x 17 x 179

Step 2: Find the prime factorization of 6088

6088 = 2 x 2 x 2 x 761

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

LCM = 18525784 = 2 x 2 x 2 x 17 x 179 x 761

Step 4: Therefore, the least common multiple of 6086 and 6088 is 18525784.