Least Common Multiple (LCM) of 20 and 61
The least common multiple (LCM) of 20 and 61 is 1220.
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 61?
First, calculate the GCD of 20 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 61 = 0 remainder 20 |
| 2 | 61 ÷ 20 = 3 remainder 1 |
| 3 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 72 | 10728 |
| 108 and 159 | 5724 |
| 47 and 54 | 2538 |
| 160 and 200 | 800 |
| 25 and 99 | 2475 |