Least Common Multiple (LCM) of 950 and 20
The least common multiple (LCM) of 950 and 20 is 1900.
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 950 and 20?
First, calculate the GCD of 950 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 950 ÷ 20 = 47 remainder 10 |
| 2 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 198 | 19206 |
| 151 and 108 | 16308 |
| 72 and 57 | 1368 |
| 86 and 149 | 12814 |
| 68 and 141 | 9588 |