Least Common Multiple of 6080 and 6085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6080 and 6085 the smallest integer that is 7399360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6080 and 6085 is 7399360.

LCM(6080,6085) = 7399360

LCM of 6080 and 6085

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

LCM of:
and

Least Common Multiple of 6080 and 6085

LCM of 6080 and 6085 is 7399360

Least common multiple can be found by multiplying the highest exponent prime factors of 6080 and 6085. First we will calculate the prime factors of 6080 and 6085.

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

Prime Factorization of 6085


5 6085
1217 1217
1

Prime factors of 6085 are 5,1217. Prime factorization of 6085 in exponential form is:

6085 = 51×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 6080 and 6085.

LCM(6080,6085) = 26×51×191×12171
LCM(6080,6085) = 7399360

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

Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1, 5, 1217, 6085

Least Common Multiple of 6080 and 6085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6080 and 6085, than apply into the LCM equation.

GCF(6080,6085) = 5
LCM(6080,6085) = ( 6080 × 6085) / 5
LCM(6080,6085) = 36996800 / 5
LCM(6080,6085) = 7399360

Properties of LCM 6080 and 6085

(i) The LCM of 6085 and 6080 is associative

LCM of 6080 and 6085 = LCM of 6085 and 6080

Related Least Common Multiples of 6080

Related Least Common Multiples of 6085

Frequently Asked Questions on LCM of 6080 and 6085

1. What is the LCM of 6080 and 6085?

Answer: LCM of 6080 and 6085 is 7399360.

2. 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.

3. What are the Factors of 6085?

Answer: Factors of 6085 are 1, 5, 1217, 6085. There are 4 integers that are factors of 6085. The greatest factor of 6085 is 6085.

4. How to Find the LCM of 6080 and 6085?

Answer:

Least Common Multiple of 6080 and 6085 = 7399360

Step 1: Find the prime factorization of 6080

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

Step 2: Find the prime factorization of 6085

6085 = 5 x 1217

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

LCM = 7399360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 1217

Step 4: Therefore, the least common multiple of 6080 and 6085 is 7399360.