Least Common Multiple (LCM) of 141 and 20
The least common multiple (LCM) of 141 and 20 is 2820.
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 141 and 20?
First, calculate the GCD of 141 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 20 = 7 remainder 1 |
| 2 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 196 | 22148 |
| 181 and 71 | 12851 |
| 157 and 200 | 31400 |
| 149 and 27 | 4023 |
| 96 and 192 | 192 |