Question

Find LCM by prime factorization method: 26,32​

Answer 1

Answer:

The LCM of 26 and 32 is 416.

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 is in the image

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

26 = 21×131

• Prime Factorization of 32 is also in image

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