Least Common Multiple of 6072 and 6079

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 6079 the smallest integer that is 36911688 that is divisible by both numbers.

Least Common Multiple (LCM) of 6072 and 6079 is 36911688.

LCM(6072,6079) = 36911688

LCM of 6072 and 6079

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

LCM of:
and

Least Common Multiple of 6072 and 6079

LCM of 6072 and 6079 is 36911688

Least common multiple can be found by multiplying the highest exponent prime factors of 6072 and 6079. First we will calculate the prime factors of 6072 and 6079.

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 6079


6079 6079
1

Prime factors of 6079 are 6079. Prime factorization of 6079 in exponential form is:

6079 = 60791

Now multiplying the highest exponent prime factors to calculate the LCM of 6072 and 6079.

LCM(6072,6079) = 23×31×111×231×60791
LCM(6072,6079) = 36911688

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 6079

List of positive integer factors of 6079 that divides 6079 without a remainder.

1, 6079

Least Common Multiple of 6072 and 6079 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 6079, than apply into the LCM equation.

GCF(6072,6079) = 1
LCM(6072,6079) = ( 6072 × 6079) / 1
LCM(6072,6079) = 36911688 / 1
LCM(6072,6079) = 36911688

Properties of LCM 6072 and 6079

(i) The LCM of 6079 and 6072 is associative

LCM of 6072 and 6079 = LCM of 6079 and 6072

Related Least Common Multiples of 6072

Related Least Common Multiples of 6079

Frequently Asked Questions on LCM of 6072 and 6079

1. What is the LCM of 6072 and 6079?

Answer: LCM of 6072 and 6079 is 36911688.

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 6079?

Answer: Factors of 6079 are 1, 6079. There are 2 integers that are factors of 6079. The greatest factor of 6079 is 6079.

4. How to Find the LCM of 6072 and 6079?

Answer:

Least Common Multiple of 6072 and 6079 = 36911688

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 6079

6079 = 6079

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

LCM = 36911688 = 2 x 2 x 2 x 3 x 11 x 23 x 6079

Step 4: Therefore, the least common multiple of 6072 and 6079 is 36911688.