hcf and lcm of 32 and 16 with proper method
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Answers
Answer:
The lcm of 16 and 32 is the smallest positive integer that divides the numbers 16 and 32 without a remainder.
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Alternatively, the lcm of 16 and 32 can be found using the prime factorization of 16 and 32:
The prime factorization of 16 is: 2 x 2 x 2 x 2.
The prime factorization of 32 is: 2 x 2 x 2 x 2 x 2.
Answer:
The HCF of 16 and 32 can be obtained like this:
The factors of 16 are 16, 8, 4, 2, 1.
The factors of 32 are 32, 16, 8, 4, 2, 1.
The common factors of 16 and 32 are 16, 8, 4, 2, 1
In the intersection factors of 16 and factors of 32 the greatest element is 16.
Therefore, the highest common factor of 16 and 32 is 16.
The lcm of 16 and 32 can be obtained like this:
The multiples of 16 are … , 16, 32, 48, ….
The multiples of 32 are …, 0, 32, 64, …
The common multiples of 16 and 32 are n x 32
In the intersection multiples of 16 and multiples of 32 the least element is 32.
Therefore, the least common multiple of 16 and 32 is 32.
Step-by-step explanation: