(start)
[calculate gcd]
[calculate product]
[divide]
(stop)
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If you already know the grid method for GCF, the LCM is found by multiplying the numbers down the left side with the numbers at the bottom of the grid. If you don't know the grid method, I'm not going to be able to draw it here as it involves a tic tac toe board and vertical lines are nearly impossible in this format. If you think about it, it's just like the ladder method with a few extra lines. If you think about it further, the grid method, like the rainbow, tree, ladder, fireworks, lattice and cake methods are all the same things: different ways to notate the process of finding and comparing the prime factorizations of given numbers. It doesn't matter where you write them on the page.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
Two or more numbers are needed to find their LCM
The LCM of one number is itself. LCM involves two or more numbers.
The LCM of the two numbers is 4920
You need at least two numbers to find an LCM.