
Least Common Multiple (LCM) of 20 and 10
The least common multiple (LCM) of 20 and 10 is 20.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 20 and 10?
First, calculate the GCD of 20 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
195 and 18 | 1170 |
176 and 67 | 11792 |
192 and 165 | 10560 |
108 and 32 | 864 |
42 and 42 | 42 |