Common Multiple Calculator
Find the first N common multiples and LCM of any two positive integers with this free online number theory calculator. Get step-by-step results showing each common multiple sorted in ascending order instantly.
About This Calculator
This common multiple calculator finds the first N common multiples and the Least Common Multiple (LCM) of any two positive integers. Simply enter your numbers and the desired count of multiples to get instant results with a full breakdown.
Common multiples are numbers that are divisible by both input values. For instance, the common multiples of 3 and 4 are 12, 24, 36, 48, etc. This tool automates the process and shows the results in ascending order.
Frequently Asked Questions
What is a common multiple?
A common multiple of two numbers is a number that is divisible by both. For example, common multiples of 4 and 6 include 12, 24, 36, and so on. The smallest common multiple is called the Least Common Multiple (LCM).
How do you find common multiples of two numbers?
To find common multiples, first compute the LCM of the two numbers. Since every common multiple is a multiple of the LCM, simply multiply the LCM by 1, 2, 3, and so on to generate the common multiples in ascending order.
What is the difference between LCM and common multiples?
The Least Common Multiple (LCM) is the smallest positive number that is divisible by both integers. Common multiples are all numbers divisible by both -- they are always multiples of the LCM. The LCM is the first entry in the list of common multiples.
Can I find common multiples of more than two numbers?
Yes, but this calculator handles two numbers at a time. For three or more numbers, compute the LCM of the first pair, then find the LCM of that result with the next number, and repeat. The common multiples are then multiples of the final LCM.
Is this tool free to use?
Yes, all calculators on Calculy are completely free to use with no registration or hidden fees. You can bookmark this page and use it as often as you need.