what is the lcm of 72 and 120

Question

Urgent homework problem, please show step by step answer. Thanks.

Answer 1

lcm of 72 and 120

multiples of 72 are 72,144,216,288,360,432.........

multiples of 120 are  120,240,360,480,.........

lcm of 72 and 120 is 360

 

Answer 2

Write the prime factorization of each number

72 = 2*2*2*3*3 =2³*3²

120=2*2*2*3*5=  2³*3¹*5¹

 

Multiply highest power of  each factor in the either number

L.C.M =2³*3²*5¹     

             = 8*9*5

          =360

 

L.C.M of 72 and 120 is 360.