Least Common Multiple of 6072 and 6077

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 6077 the smallest integer that is 36899544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6072 and 6077 is 36899544.

LCM(6072,6077) = 36899544

LCM of 6072 and 6077

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

LCM of:
and

Least Common Multiple of 6072 and 6077

LCM of 6072 and 6077 is 36899544

Least common multiple can be found by multiplying the highest exponent prime factors of 6072 and 6077. First we will calculate the prime factors of 6072 and 6077.

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 6077


59 6077
103 103
1

Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:

6077 = 591×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6072 and 6077.

LCM(6072,6077) = 23×31×111×231×591×1031
LCM(6072,6077) = 36899544

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 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1, 59, 103, 6077

Least Common Multiple of 6072 and 6077 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 6077, than apply into the LCM equation.

GCF(6072,6077) = 1
LCM(6072,6077) = ( 6072 × 6077) / 1
LCM(6072,6077) = 36899544 / 1
LCM(6072,6077) = 36899544

Properties of LCM 6072 and 6077

(i) The LCM of 6077 and 6072 is associative

LCM of 6072 and 6077 = LCM of 6077 and 6072

Related Least Common Multiples of 6072

Related Least Common Multiples of 6077

Frequently Asked Questions on LCM of 6072 and 6077

1. What is the LCM of 6072 and 6077?

Answer: LCM of 6072 and 6077 is 36899544.

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 6077?

Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.

4. How to Find the LCM of 6072 and 6077?

Answer:

Least Common Multiple of 6072 and 6077 = 36899544

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 6077

6077 = 59 x 103

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

LCM = 36899544 = 2 x 2 x 2 x 3 x 11 x 23 x 59 x 103

Step 4: Therefore, the least common multiple of 6072 and 6077 is 36899544.