Least Common Multiple of 6082 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 6082 and 6088 the smallest integer that is 18513608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6082 and 6088 is 18513608.

LCM(6082,6088) = 18513608

LCM of 6082 and 6088

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

LCM of:
and

Least Common Multiple of 6082 and 6088

LCM of 6082 and 6088 is 18513608

Least common multiple can be found by multiplying the highest exponent prime factors of 6082 and 6088. First we will calculate the prime factors of 6082 and 6088.

Prime Factorization of 6082


2 6082
3041 3041
1

Prime factors of 6082 are 2,3041. Prime factorization of 6082 in exponential form is:

6082 = 21×30411

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 6082 and 6088.

LCM(6082,6088) = 23×7611×30411
LCM(6082,6088) = 18513608

Factors of 6082

List of positive integer factors of 6082 that divides 6082 without a remainder.

1, 2, 3041, 6082

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 6082 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 6082 and 6088, than apply into the LCM equation.

GCF(6082,6088) = 2
LCM(6082,6088) = ( 6082 × 6088) / 2
LCM(6082,6088) = 37027216 / 2
LCM(6082,6088) = 18513608

Properties of LCM 6082 and 6088

(i) The LCM of 6088 and 6082 is associative

LCM of 6082 and 6088 = LCM of 6088 and 6082

Related Least Common Multiples of 6082

Related Least Common Multiples of 6088

Frequently Asked Questions on LCM of 6082 and 6088

1. What is the LCM of 6082 and 6088?

Answer: LCM of 6082 and 6088 is 18513608.

2. What are the Factors of 6082?

Answer: Factors of 6082 are 1, 2, 3041, 6082. There are 4 integers that are factors of 6082. The greatest factor of 6082 is 6082.

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 6082 and 6088?

Answer:

Least Common Multiple of 6082 and 6088 = 18513608

Step 1: Find the prime factorization of 6082

6082 = 2 x 3041

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 = 18513608 = 2 x 2 x 2 x 761 x 3041

Step 4: Therefore, the least common multiple of 6082 and 6088 is 18513608.