Least Common Multiple of 6072 and 6080

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 6080 the smallest integer that is 4614720 that is divisible by both numbers.

Least Common Multiple (LCM) of 6072 and 6080 is 4614720.

LCM(6072,6080) = 4614720

LCM of 6072 and 6080

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

LCM of:
and

Least Common Multiple of 6072 and 6080

LCM of 6072 and 6080 is 4614720

Least common multiple can be found by multiplying the highest exponent prime factors of 6072 and 6080. First we will calculate the prime factors of 6072 and 6080.

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 6080


2 6080
2 3040
2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 6080 are 2, 5,19. Prime factorization of 6080 in exponential form is:

6080 = 26×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6072 and 6080.

LCM(6072,6080) = 26×31×51×111×191×231
LCM(6072,6080) = 4614720

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 6080

List of positive integer factors of 6080 that divides 6080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080

Least Common Multiple of 6072 and 6080 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 6080, than apply into the LCM equation.

GCF(6072,6080) = 8
LCM(6072,6080) = ( 6072 × 6080) / 8
LCM(6072,6080) = 36917760 / 8
LCM(6072,6080) = 4614720

Properties of LCM 6072 and 6080

(i) The LCM of 6080 and 6072 is associative

LCM of 6072 and 6080 = LCM of 6080 and 6072

Related Least Common Multiples of 6072

Related Least Common Multiples of 6080

Frequently Asked Questions on LCM of 6072 and 6080

1. What is the LCM of 6072 and 6080?

Answer: LCM of 6072 and 6080 is 4614720.

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 6080?

Answer: Factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080. There are 28 integers that are factors of 6080. The greatest factor of 6080 is 6080.

4. How to Find the LCM of 6072 and 6080?

Answer:

Least Common Multiple of 6072 and 6080 = 4614720

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 6080

6080 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19

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

LCM = 4614720 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 6072 and 6080 is 4614720.