Free LCM Calculator identify the least usual multiple (LCM) in between 8 and also 12 the the smallest integer the is 24 that is divisible by both numbers.
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Least typical Multiple (LCM) of 8 and also 12 is 24.
LCM(8,12) = 24
Least common multiple have the right to be discovered by multiplying the highest exponent prime determinants of 8 and 12. Very first we will certainly calculate the prime factors of 8 and 12.
Prime administrate of 8
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factors of 8 are 2. Prime factorization that 8 in exponential form is:
8 = 23Prime administer of 12
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
Prime components of 12 space 2,3. Element factorization the 12 in exponential form is:
12 = 22×31Now multiplying the highest possible exponent prime determinants to calculate the LCM the 8 and also 12.
LCM(8,12) = 23×31LCM(8,12) = 24
Factors of 8
List of optimistic integer determinants of 8 the divides 8 without a remainder.
1, 2, 4, 8
Factors of 12
List of positive integer components of 12 the divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Least usual Multiple of 8 and also 12 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We should calculate greatest usual factor 8 and also 12, than use into the LCM equation.
GCF(8,12) = 4LCM(8,12) = ( 8 × 12) / 4LCM(8,12) = 96 / 4LCM(8,12) = 24
Properties the LCM 8 and 12
(i) The LCM the 12 and also 8 is associative
LCM that 8 and also 12 = LCM of 12 and also 8
Related Least typical Multiples that 8
Related Least common Multiples of 12
Frequently Asked concerns on LCM that 8 and also 12
1. What is the LCM of 8 and 12?
Answer: LCM of 8 and also 12 is 24.
2. What room the factors of 8?
Answer: components of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest variable of 8 is 8.
3. What room the factors of 12?
Answer: determinants of 12 space 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.
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4. How to discover the LCM of 8 and also 12?
Answer:
Least usual Multiple that 8 and also 12 = 24
Step 1: uncover the prime factorization that 8
8 = 2 x 2 x 2
Step 2: find the element factorization of 12
12 = 2 x 2 x 3
Step 3: main point each element the greater variety of times it wake up in measures i) or ii) above to find the lcm:
LCM = 24 = 2 x 2 x 2 x 3
Step 4: Therefore, the least usual multiple that 8 and 12 is 24.
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