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| Question 365671:  lcm of 585 and 7425
 Answer by jim_thompson5910(35256)
      (Show Source): 
You can put this solution on YOUR website! First, list the prime factorization of each number. If you need help with prime factorization, check out this solver. 
 
 585: 3*3*5*13
 
 
 7425: 3*3*3*5*5*11
 
 
 Now highlight the unique factors. Remember, highlight the factors that occur most frequently
 
 
 585: 3*3*5*13
 
 
 7425: 3*3*3*5*5*11
 
 
 Now multiply all of the highlighted factors
 
 3*3*3*5*5*11*13=96525
 
 So the LCM of 585 and  7425  is 96525
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