LCM Full Form
The LCM Full form is Least Common Multiple which means lowest possible number that can be divisible by both numbers.
For eg : LCM of 60 and 90 is 180 as 180 is lowest number which is multiple of both 60 and 90.
Methods to Find LCM :
LCM by Listing Method : In this method multiples are listed for the numbers for which lcm needs to be calculated. The lowest common multiple in the list is lcm of the numbers . For Eg LCM of 10 and 25:
Multiples of 10: 10,20,30,40,50,60,70,80,90,100,110,…
Multiples of 25 : 25,50,75,100,125,…
Lowest common multiple in the list is 50 which is lcm of 10 and 25
LCM by Prime Factorisation Method: Another way to find LCM is to break down numbers to its prime factors. Then, common factors are chosen once along with rest of the factors.The multiplication of these is the lcm. For eg lcm of 12 and 18
12: 2 * 2 * 3
18: 2* 3 * 3
LCM: 2 * 3 * 2 * 3 = 36