Question

What is the LCM of 42 and 63? Please show work! I'm very confused and don't understand.

Answer 1

Answer:

LCM of 42 and 63 is 126.

Step-by-step explanation:

Find the prime factorization of 42

42 = 2 × 3 × 7Find the prime factorization of 63

63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 7LCM = 126

Answer 2

$\huge\text{Hey there!}$

$\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}$

$\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}$$\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}$

$\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}$

$\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}$

~$\huge\text{Amphitrite1040:)}$