Least Common Multiple (LCM) of 61 and 95
The least common multiple (LCM) of 61 and 95 is 5795.
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 95?
First, calculate the GCD of 61 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 95 = 0 remainder 61 |
| 2 | 95 ÷ 61 = 1 remainder 34 |
| 3 | 61 ÷ 34 = 1 remainder 27 |
| 4 | 34 ÷ 27 = 1 remainder 7 |
| 5 | 27 ÷ 7 = 3 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 105 | 18060 |
| 173 and 183 | 31659 |
| 162 and 132 | 3564 |
| 168 and 179 | 30072 |
| 19 and 134 | 2546 |