Least Common Multiple of 6072 and 6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6072 and 6076 the smallest integer that is 9223368 that is divisible by both numbers.

Least Common Multiple (LCM) of 6072 and 6076 is 9223368.

LCM(6072,6076) = 9223368

LCM of 6072 and 6076

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

LCM of:
and

Least Common Multiple of 6072 and 6076

LCM of 6072 and 6076 is 9223368

Least common multiple can be found by multiplying the highest exponent prime factors of 6072 and 6076. First we will calculate the prime factors of 6072 and 6076.

Prime Factorization of 6072


2 6072
2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 6072 are 2, 3, 11,23. Prime factorization of 6072 in exponential form is:

6072 = 23×31×111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6072 and 6076.

LCM(6072,6076) = 23×31×72×111×231×311
LCM(6072,6076) = 9223368

Factors of 6072

List of positive integer factors of 6072 that divides 6072 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072

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

Least Common Multiple of 6072 and 6076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6072 and 6076, than apply into the LCM equation.

GCF(6072,6076) = 4
LCM(6072,6076) = ( 6072 × 6076) / 4
LCM(6072,6076) = 36893472 / 4
LCM(6072,6076) = 9223368

Properties of LCM 6072 and 6076

(i) The LCM of 6076 and 6072 is associative

LCM of 6072 and 6076 = LCM of 6076 and 6072

Related Least Common Multiples of 6072

Related Least Common Multiples of 6076

Frequently Asked Questions on LCM of 6072 and 6076

1. What is the LCM of 6072 and 6076?

Answer: LCM of 6072 and 6076 is 9223368.

2. What are the Factors of 6072?

Answer: Factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.

3. 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.

4. How to Find the LCM of 6072 and 6076?

Answer:

Least Common Multiple of 6072 and 6076 = 9223368

Step 1: Find the prime factorization of 6072

6072 = 2 x 2 x 2 x 3 x 11 x 23

Step 2: Find the prime factorization of 6076

6076 = 2 x 2 x 7 x 7 x 31

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

LCM = 9223368 = 2 x 2 x 2 x 3 x 7 x 7 x 11 x 23 x 31

Step 4: Therefore, the least common multiple of 6072 and 6076 is 9223368.