Question

find the h.c.f and l.c.m of 26 and 32​

Answer 1

Step-by-step explanation:

Least common multiple can be found by multiplying the highest exponent prime factors of 26 and 32. First we will calculate the prime factors of 26 and 32.

Prime Factorization of 26

2 26

13 13

1

Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

Prime Factorization of 32

2 32

2 16

2 8

2 4

2 2

1

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Now multiplying the highest exponent prime factors to calculate the LCM of 26 and 32.

LCM(26,32) = 25×131

LCM(26,32) = 416

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Answer 2

Answer:

L CM 416 and H C F 2 I hope answer is clear