Least Common Multiple (LCM) of 61 and 134
The least common multiple (LCM) of 61 and 134 is 8174.
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 134?
First, calculate the GCD of 61 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 134 = 0 remainder 61 |
| 2 | 134 ÷ 61 = 2 remainder 12 |
| 3 | 61 ÷ 12 = 5 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 68 | 4964 |
| 101 and 168 | 16968 |
| 154 and 73 | 11242 |
| 69 and 86 | 5934 |
| 176 and 50 | 4400 |