We wish to find the least common multiple of 36 and 330 by distributing into products of prime factors.

36= 3 x 3 x 2 x 2  = 3^2   x   2^2 

330 =  3x 2x 5 x11 

lcm(  36 , 330 )=  3^ 2  x  2^2  x 5 x 11 =1980

Hello there,
36 = 2 x 2 x 3 x 3 = 2 square x 3 square
330 = 2 x 3 x 5 x 11
Thus,
LCM= 2 square x 3 square x 5 x 11
        = 1980
Hope this helps :))

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