Least Common Multiple of 6080 and 6088

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 6088 the smallest integer that is 4626880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6080 and 6088 is 4626880.

LCM(6080,6088) = 4626880

LCM of 6080 and 6088

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

LCM of:
and

Least Common Multiple of 6080 and 6088

LCM of 6080 and 6088 is 4626880

Least common multiple can be found by multiplying the highest exponent prime factors of 6080 and 6088. First we will calculate the prime factors of 6080 and 6088.

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 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 6080 and 6088.

LCM(6080,6088) = 26×51×191×7611
LCM(6080,6088) = 4626880

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 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1, 2, 4, 8, 761, 1522, 3044, 6088

Least Common Multiple of 6080 and 6088 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 6088, than apply into the LCM equation.

GCF(6080,6088) = 8
LCM(6080,6088) = ( 6080 × 6088) / 8
LCM(6080,6088) = 37015040 / 8
LCM(6080,6088) = 4626880

Properties of LCM 6080 and 6088

(i) The LCM of 6088 and 6080 is associative

LCM of 6080 and 6088 = LCM of 6088 and 6080

Related Least Common Multiples of 6080

Related Least Common Multiples of 6088

Frequently Asked Questions on LCM of 6080 and 6088

1. What is the LCM of 6080 and 6088?

Answer: LCM of 6080 and 6088 is 4626880.

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 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

4. How to Find the LCM of 6080 and 6088?

Answer:

Least Common Multiple of 6080 and 6088 = 4626880

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 6088

6088 = 2 x 2 x 2 x 761

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

LCM = 4626880 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 761

Step 4: Therefore, the least common multiple of 6080 and 6088 is 4626880.