Question

Find the HCF and LCM for these numbers using prime factors 60 and 150
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Answer 1

Explanation:

prime factorization of 60= 2*2*3*5 =
`2^(2) * 3^(1) * 5^(1)`

prime factorization of 150 = 2*3*5*5 =
`2^(1) * 3^(1) * 5^(2)`

greatest (highest) common factor (divisor), calculated

HCF = 2*3*5 = 30

For LCM, when you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to

LCM =
`2^(2) * 3^(1) * 5^(2)`=300