Least Common Multiple (LCM) of 61 and 64
The least common multiple (LCM) of 61 and 64 is 3904.
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 64?
First, calculate the GCD of 61 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 64 = 0 remainder 61 |
| 2 | 64 ÷ 61 = 1 remainder 3 |
| 3 | 61 ÷ 3 = 20 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 70 | 10990 |
| 42 and 145 | 6090 |
| 22 and 67 | 1474 |
| 179 and 125 | 22375 |
| 191 and 175 | 33425 |