Least Common Multiple (LCM) of 134 and 31
The least common multiple (LCM) of 134 and 31 is 4154.
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 134 and 31?
First, calculate the GCD of 134 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 31 = 4 remainder 10 |
| 2 | 31 ÷ 10 = 3 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 45 | 8865 |
| 181 and 12 | 2172 |
| 105 and 196 | 2940 |
| 95 and 160 | 3040 |
| 134 and 132 | 8844 |