Question

The treasurer Lise under the lowest factor of 2017,×,2018

Answer 1

The LCM is the least common multiple or lowest common multiple between two or more numbers. We can find the least common multiple by breaking down each number into its prime factors. This can be accomplished by hand or seeing the factor calculator or prime factorization calculator. The method for finding the LCM, along with an example illustrating such will be seen in the next section.

How to Find Least Common Multiple

Take each numbers and find their prime factors. Knowing various divisibility rules helps assist in this process.

Any even number is divisible by 2.
Any numbers whose sum of the digits is divisible by 3, is also divisible by 3
A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4
All numbers ending in 5 or 0 are divisible by 5.
The number is divisible by 6 if it is divisible by both 2 and 3.
A number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.
A number whose sum of digits is divisible by 9 is also divisible by 9.
Any number ending in 0 is divisible by 10.
Once the numbers are broken down to their prime factors, multiply the highest power of each factor to get the LCM.
Lcm of 2017 and 2018 is
4070306