# What is the LCM and GCF of 24 and 60?

The least common multiple of 24 and 60 = 120
The smallest positive integer that is divisible by both numbers.
Other names include,
Lowest common multiple =120
Smallest common multiple = 120

The greatest common factor of 24 and 60 = 12
The Greatest Common Factor is the largest positive integer that will divide into the numbers with zero remainders.
Other names include,
The Greatest Common Divisor (GCD) 24 and 60 = 12
Highest Common Factor (HCF) 24 and 60 = 12

I use a factor tree and a chart in order to find the LCM and the GCF.

Once you have the prime factors for the LCM multiply all the factors together but if you have two of the same factor only use it once.
For the (GCF) find factors that you have pairs of factors.
If you have multiple factors, multiply them together.
If you don't have pairs the (GCF) is 1.

If you have 3 numbers, for the LCM bring down only 1 number if you have two or three numbers in a column, and you must have three numbers in the column for the GCF.