Least Common Multiple of 6073 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 6073 and 6080 the smallest integer that is 36923840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6073 and 6080 is 36923840.

LCM(6073,6080) = 36923840

LCM of 6073 and 6080

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

LCM of:
and

Least Common Multiple of 6073 and 6080

LCM of 6073 and 6080 is 36923840

Least common multiple can be found by multiplying the highest exponent prime factors of 6073 and 6080. First we will calculate the prime factors of 6073 and 6080.

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

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 6073 and 6080.

LCM(6073,6080) = 26×51×191×60731
LCM(6073,6080) = 36923840

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

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 6073 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 6073 and 6080, than apply into the LCM equation.

GCF(6073,6080) = 1
LCM(6073,6080) = ( 6073 × 6080) / 1
LCM(6073,6080) = 36923840 / 1
LCM(6073,6080) = 36923840

Properties of LCM 6073 and 6080

(i) The LCM of 6080 and 6073 is associative

LCM of 6073 and 6080 = LCM of 6080 and 6073

Related Least Common Multiples of 6073

Related Least Common Multiples of 6080

Frequently Asked Questions on LCM of 6073 and 6080

1. What is the LCM of 6073 and 6080?

Answer: LCM of 6073 and 6080 is 36923840.

2. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

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 6073 and 6080?

Answer:

Least Common Multiple of 6073 and 6080 = 36923840

Step 1: Find the prime factorization of 6073

6073 = 6073

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 = 36923840 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 6073

Step 4: Therefore, the least common multiple of 6073 and 6080 is 36923840.