Table of Contents
What is the LCM of 3 and 7 using prime factorization?
21
LCM of 3 and 7 by Prime Factorization Prime factorization of 3 and 7 is (3) = 31 and (7) = 71 respectively. LCM of 3 and 7 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 31 × 71 = 21. Hence, the LCM of 3 and 7 by prime factorization is 21.
What is the LCM of 12 and 17 using prime factorization?
204
Hence, the LCM of 12 and 17 by prime factorization is 204.
What is the LCM of 10 and 12 using prime factorization?
60
LCM of 10 and 12 by Prime Factorization LCM of 10 and 12 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 31 × 51 = 60. Hence, the LCM of 10 and 12 by prime factorization is 60.
What is the LCM of 12 and 17?
Answer: LCM of 12 and 17 is 204.
How to calculate the LCM of 3, 17?
Prime factors of 17 are 17. Prime factorization of 17 in exponential form is: 17 = 17 1 Now multiplying the highest exponent prime factors to calculate the LCM of 3 and 17.
How to calculate the least common multiple of 3 and 17?
We need to calculate greatest common factor 3 and 17, than apply into the LCM equation. Least common multiple can be found by multiplying the highest exponent prime factors of 3 and 17. First we will calculate the prime factors of 3 and 17. Prime factors of 3 are 3. Prime factorization of 3 in exponential form is: Prime factors of 17 are 17.
Is the LCM equal to the product of the prime factors?
LCM is equal to the product of the prime factors. But the common prime factors are multiplied only once. In addition to the cake method, we can calculate the LCM of two numbers by using prime factorization.
Why do we use prime factorization to find the least common multiple?
So the LCM of 3 3 and 4 4 is 12 12. One of the reasons we find prime factorizations is to use them to find the least common multiple of two or more numbers. This will be useful when we add and subtract fractions with different denominators. We can find the least common multiple of two numbers by inspecting their prime factors.