Least Common Multiple of 6076 and 6081

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 6081 the smallest integer that is 36948156 that is divisible by both numbers.

Least Common Multiple (LCM) of 6076 and 6081 is 36948156.

LCM(6076,6081) = 36948156

LCM of 6076 and 6081

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

LCM of:
and

Least Common Multiple of 6076 and 6081

LCM of 6076 and 6081 is 36948156

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6081. First we will calculate the prime factors of 6076 and 6081.

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 6081


3 6081
2027 2027
1

Prime factors of 6081 are 3,2027. Prime factorization of 6081 in exponential form is:

6081 = 31×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 6076 and 6081.

LCM(6076,6081) = 22×31×72×311×20271
LCM(6076,6081) = 36948156

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 6081

List of positive integer factors of 6081 that divides 6081 without a remainder.

1, 3, 2027, 6081

Least Common Multiple of 6076 and 6081 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 6081, than apply into the LCM equation.

GCF(6076,6081) = 1
LCM(6076,6081) = ( 6076 × 6081) / 1
LCM(6076,6081) = 36948156 / 1
LCM(6076,6081) = 36948156

Properties of LCM 6076 and 6081

(i) The LCM of 6081 and 6076 is associative

LCM of 6076 and 6081 = LCM of 6081 and 6076

Related Least Common Multiples of 6076

Related Least Common Multiples of 6081

Frequently Asked Questions on LCM of 6076 and 6081

1. What is the LCM of 6076 and 6081?

Answer: LCM of 6076 and 6081 is 36948156.

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 6081?

Answer: Factors of 6081 are 1, 3, 2027, 6081. There are 4 integers that are factors of 6081. The greatest factor of 6081 is 6081.

4. How to Find the LCM of 6076 and 6081?

Answer:

Least Common Multiple of 6076 and 6081 = 36948156

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 6081

6081 = 3 x 2027

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

LCM = 36948156 = 2 x 2 x 3 x 7 x 7 x 31 x 2027

Step 4: Therefore, the least common multiple of 6076 and 6081 is 36948156.