Least Common Multiple (LCM) calculator
Least Common Multiple (LCM) calculator
Least Common Multiple (LCM) calculator - finds LCM for up to three given numbers and shows process of dividing by primes as for school-like interpretation.

# Enter numbers

If you need only 2 numbers - just leave 3rd field empty!
Enter number #1Enter number #2Enter number #3
 3618931 2233
 31752158767938396913234411474971 222333377

# Results

 Least common multiple (LCM) 31752 LCM prime factors 23 × 34 × 72 Greatest Common Divisor (GCD) 36 GCD prime factors 22 × 32 Processing time (performance) 0ms

# Some facts

• Least common multiple is the smallest positive integer that is a multiple of two or more numbers. This means also, it can be divided by these numbers without a reminder.

Example 1: numbers 2 and 3 have LCM 6 because 6 divides completely by both two and by three.

Example 2: A number of 4 and 10 have LCM 20, because 20 divides completely by both 4 and 10.

As you can see in the first example, LCM was the product (multiplication) of the given numbers. However, in the second example is a much smaller number.

• Least common multiple (LCM) is sometimes called lowest common multiple or smallest common multiple
• LCM is mainly useful as lowest common denominator for fractions.

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