Least Common Multiple (LCM) of 61 and 31
The least common multiple (LCM) of 61 and 31 is 1891.
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 61 and 31?
First, calculate the GCD of 61 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 31 = 1 remainder 30 |
| 2 | 31 ÷ 30 = 1 remainder 1 |
| 3 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 161 | 3864 |
| 87 and 86 | 7482 |
| 180 and 177 | 10620 |
| 82 and 16 | 656 |
| 152 and 150 | 11400 |