Free LCM Calculator identify the least typical multiple (LCM) in between 6 and also 8 the smallest integer that is 24 the is divisible through both numbers.

You are watching: Least common multiple of 6 and 8

Least typical Multiple (LCM) the 6 and 8 is 24.

LCM(6,8) = 24


Least usual multiple have the right to be found by multiplying the highest exponent prime factors of 6 and also 8. Very first we will certainly calculate the prime components of 6 and 8.

Prime administer of 6

2 6
3 3
1

Prime determinants of 6 space 2,3. Prime factorization of 6 in exponential form is:

6 = 21×31Prime factorization of 8

2 8
2 4
2 2
1

Prime components of 8 are 2. Element factorization the 8 in exponential form is:

8 = 23Now multiply the greatest exponent prime factors to calculation the LCM that 6 and also 8.

LCM(6,8) = 23×31LCM(6,8) = 24

Factors that 6

List of confident integer determinants of 6 the divides 6 without a remainder.

1, 2, 3, 6

Factors that 8

List of positive integer determinants of 8 that divides 8 there is no a remainder.

1, 2, 4, 8


Least common Multiple the 6 and also 8 through GCF Formula


The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest typical factor 6 and also 8, than apply into the LCM equation.

GCF(6,8) = 2LCM(6,8) = ( 6 × 8) / 2LCM(6,8) = 48 / 2LCM(6,8) = 24


Properties the LCM 6 and also 8


(i) The LCM the 8 and also 6 is associative

LCM the 6 and 8 = LCM of 8 and 6


Related Least typical Multiples of 6
Related Least common Multiples the 8

Frequently Asked concerns on LCM of 6 and also 8


1. What is the LCM of 6 and also 8?

Answer: LCM that 6 and also 8 is 24.

2. What are the factors of 6?

Answer: factors of 6 room 1, 2, 3, 6. There are 4 integers that are components of 6. The greatest aspect of 6 is 6.

3. What are the factors of 8?

Answer: determinants of 8 space 1, 2, 4, 8. There are 4 integers that are determinants of 8. The greatest factor of 8 is 8.

See more: Get The Answer To The Question " How Long Can You Keep Tuna Fish In The Fridge ?

4. Exactly how to find the LCM that 6 and also 8?

Answer:

Least common Multiple the 6 and 8 = 24

Step 1: discover the prime factorization of 6

6 = 2 x 3

Step 2: find the prime factorization that 8

8 = 2 x 2 x 2

Step 3: main point each aspect the greater variety of times it occurs in measures i) or ii) over to find the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least typical multiple that 6 and 8 is 24.


favourite Calculators
Most renowned
company Follow us