Least Common Multiple of 6076 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 6076 and 6082 the smallest integer that is 18477116 that is divisible by both numbers.

Least Common Multiple (LCM) of 6076 and 6082 is 18477116.

LCM(6076,6082) = 18477116

LCM of 6076 and 6082

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

LCM of:
and

Least Common Multiple of 6076 and 6082

LCM of 6076 and 6082 is 18477116

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6082. First we will calculate the prime factors of 6076 and 6082.

Prime Factorization of 6076


2 6076
2 3038
7 1519
7 217
31 31
1

Prime factors of 6076 are 2, 7,31. Prime factorization of 6076 in exponential form is:

6076 = 22×72×311

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 6076 and 6082.

LCM(6076,6082) = 22×72×311×30411
LCM(6076,6082) = 18477116

Factors of 6076

List of positive integer factors of 6076 that divides 6076 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076

Factors of 6082

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

1, 2, 3041, 6082

Least Common Multiple of 6076 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 6076 and 6082, than apply into the LCM equation.

GCF(6076,6082) = 2
LCM(6076,6082) = ( 6076 × 6082) / 2
LCM(6076,6082) = 36954232 / 2
LCM(6076,6082) = 18477116

Properties of LCM 6076 and 6082

(i) The LCM of 6082 and 6076 is associative

LCM of 6076 and 6082 = LCM of 6082 and 6076

Related Least Common Multiples of 6076

Related Least Common Multiples of 6082

Frequently Asked Questions on LCM of 6076 and 6082

1. What is the LCM of 6076 and 6082?

Answer: LCM of 6076 and 6082 is 18477116.

2. What are the Factors of 6076?

Answer: Factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076. There are 18 integers that are factors of 6076. The greatest factor of 6076 is 6076.

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 6076 and 6082?

Answer:

Least Common Multiple of 6076 and 6082 = 18477116

Step 1: Find the prime factorization of 6076

6076 = 2 x 2 x 7 x 7 x 31

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 = 18477116 = 2 x 2 x 7 x 7 x 31 x 3041

Step 4: Therefore, the least common multiple of 6076 and 6082 is 18477116.