Lcm Of 8 And 13
To the lowest degree mutual multiple can be found by multiplying the highest exponent prime number factors of eight and 13. Beginning nosotros will calculate the prime factors of 8 and 13.
Prime Factorization of viii
Prime number factors of viii are 2. Prime number factorization of 8 in exponential form is:
eight = ii3
Prime Factorization of 13
Prime factors of 13 are 13. Prime factorization of 13 in exponential form is:
xiii = 13one
Now multiplying the highest exponent prime factors to calculate the LCM of 8 and 13.
LCM(8,thirteen) = 2iii×thirteen1
LCM(eight,13) = 104
Factors of 8
List of positive integer factors of 8 that divides 8 without a balance.
1, 2, 4, 8
Factors of 13
Listing of positive integer factors of 13 that divides 13 without a remainder.
1, 13
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common gene 8 and 13, than apply into the LCM equation.
GCF(8,13) = ane
LCM(eight,13) = ( 8 × 13) / 1
LCM(8,xiii) = 104 / 1
LCM(eight,xiii) = 104
(i) The LCM of thirteen and 8 is associative
LCM of eight and 13 = LCM of 13 and 8
1. What is the LCM of 8 and 13?
Answer: LCM of 8 and 13 is 104.
2. What are the Factors of 8?
Answer: Factors of 8 are 1, 2, 4, 8. At that place are four integers that are factors of 8. The greatest factor of 8 is 8.
3. What are the Factors of xiii?
Respond: Factors of 13 are 1, 13. There are ii integers that are factors of thirteen. The greatest gene of 13 is 13.
4. How to Find the LCM of 8 and xiii?
Respond:
To the lowest degree Common Multiple of viii and 13 = 104
Step 1: Find the prime factorization of 8
8 = 2 ten 2 10 2
Footstep 2: Find the prime factorization of 13
thirteen = 13
Stride three: Multiply each factor the greater number of times it occurs in steps i) or ii) in a higher place to notice the lcm:
LCM = 104 = 2 x ii x two x xiii
Step 4: Therefore, the least common multiple of 8 and xiii is 104.
Lcm Of 8 And 13,
Source: https://lcmgcf.com/lcm-of-8-and-13/
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