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.
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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.
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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.
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