Least Common Multiple of 6074 and 6082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6074 and 6082 the smallest integer that is 18471034 that is divisible by both numbers.

Least Common Multiple (LCM) of 6074 and 6082 is 18471034.

LCM(6074,6082) = 18471034

LCM of 6074 and 6082

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

LCM of:
and

Least Common Multiple of 6074 and 6082

LCM of 6074 and 6082 is 18471034

Least common multiple can be found by multiplying the highest exponent prime factors of 6074 and 6082. First we will calculate the prime factors of 6074 and 6082.

Prime Factorization of 6074


2 6074
3037 3037
1

Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:

6074 = 21×30371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6074 and 6082.

LCM(6074,6082) = 21×30371×30411
LCM(6074,6082) = 18471034

Factors of 6074

List of positive integer factors of 6074 that divides 6074 without a remainder.

1, 2, 3037, 6074

Factors of 6082

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

1, 2, 3041, 6082

Least Common Multiple of 6074 and 6082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6074 and 6082, than apply into the LCM equation.

GCF(6074,6082) = 2
LCM(6074,6082) = ( 6074 × 6082) / 2
LCM(6074,6082) = 36942068 / 2
LCM(6074,6082) = 18471034

Properties of LCM 6074 and 6082

(i) The LCM of 6082 and 6074 is associative

LCM of 6074 and 6082 = LCM of 6082 and 6074

Related Least Common Multiples of 6074

Related Least Common Multiples of 6082

Frequently Asked Questions on LCM of 6074 and 6082

1. What is the LCM of 6074 and 6082?

Answer: LCM of 6074 and 6082 is 18471034.

2. What are the Factors of 6074?

Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.

3. 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.

4. How to Find the LCM of 6074 and 6082?

Answer:

Least Common Multiple of 6074 and 6082 = 18471034

Step 1: Find the prime factorization of 6074

6074 = 2 x 3037

Step 2: Find the prime factorization of 6082

6082 = 2 x 3041

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

LCM = 18471034 = 2 x 3037 x 3041

Step 4: Therefore, the least common multiple of 6074 and 6082 is 18471034.